Metrics for HairBSDF, Mp, lower

analyze451.0ms (2.6%)

Memory

-4.2MiB live, 861.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
0%	0%	1.5%	97%	0%	1.5%	0%	11
0%	0%	1.5%	97%	0%	1.5%	0%	12

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample5.9s (34.8%)

Memory

79.0MiB live, 3 954.7MiB allocated

Samples

5.3s	8 256×	0	valid
26.0ms	133×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-div: 1.0s (28.3% of total)

ival-log: 613.0ms (16.8% of total)

ival-mult: 605.0ms (16.6% of total)

const: 493.0ms (13.5% of total)

ival-<=: 490.0ms (13.5% of total)

ival-sub: 150.0ms (4.1% of total)

ival-add: 111.0ms (3% of total)

ival-exp: 76.0ms (2.1% of total)

ival-and: 53.0ms (1.5% of total)

exact: 16.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess302.0ms (1.8%)

Memory

6.7MiB live, 478.1MiB allocated

Algorithm

2×	egg-herbie

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	504
1	473	469
2	1379	462
3	5000	462
0	21	23
1	50	22
2	137	22
3	456	22
4	1702	22
5	5011	22
0	8123	19

Stop Event

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

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

Outputs

(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

(fma.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 0 binary32))

Call 2

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))

Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ -1/2 v))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_O (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_i (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_O (/ sinTheta_O v)) (+ (* cosTheta_i (/ sinTheta_i v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(* (exp (+ (- (* cosTheta_O (/ v cosTheta_i)) (* sinTheta_i (/ sinTheta_O cosTheta_i))) (+ 6931/10000 (/ -1 cosTheta_i)))) (/ 1/2 cosTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_i (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_O (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (+ 6931/10000 (* cosTheta_i (/ sinTheta_O v))) (- (/ -1 v) (* cosTheta_O (/ sinTheta_i v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (exp (+ (* cosTheta_i (/ v cosTheta_O)) (+ (- (/ -1 cosTheta_O) (* sinTheta_i (/ sinTheta_O cosTheta_O))) 6931/10000))) (/ 1/2 cosTheta_O))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(* (exp (- (* cosTheta_O (/ cosTheta_i sinTheta_i)) (+ (* v (/ sinTheta_O sinTheta_i)) (+ (/ 1 sinTheta_i) -6931/10000)))) (/ 1/2 sinTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
(* (exp (+ (- (* cosTheta_O (/ cosTheta_i sinTheta_O)) (* v (/ sinTheta_i sinTheta_O))) (+ 6931/10000 (/ -1 sinTheta_O)))) (/ 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain245.0ms (1.4%)

Memory

-0.7MiB live, 438.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	3	(-0.0014981047715991735 -2.6120545953745022e-5 -1.6761117382957606e-35 1.1952907413848024e-11 0.013405260629951954)	33	(-1.842402516773557e-25 1.5651278656461838e-27 1.9807228920462958e-28 9.69994073229247e-16 0.0018328693695366383)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
91	1	(-2.7248239150323906e-34 6.297065050384628e-32 -4.0106259242486675e-13 -8.131240788091933e-27 3.0537236296050745e-21)	33	(-1.4550867177831606e-8 5.476003667718078e-38 -5.97427094600586e-17 -2.9334740655907038e-21 2.2403755258049384e-38)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
2	6	(2.3853016357276217e-36 5.414219073074378e-10 -3.897083176995775e-12 1.2638173529921914e-6 0.00920442957431078)	2	(-1.1406209839995948e-24 0.00020417492487467825 2.1683722650590204e-28 2.4601312098582184e-9 0.019216828048229218)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	94
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	6	3
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	84

Confusion

	Predicted +	Predicted -
+	0	4
-	18	234

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	3	1
-	18	0	234

Precision?

0.14285714285714285

Recall?

0.75

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 15.0ms (28.1% of total)

ival-mult: 12.0ms (22.5% of total)

const: 8.0ms (15% of total)

ival-log: 6.0ms (11.2% of total)

ival-exp: 4.0ms (7.5% of total)

ival-add: 4.0ms (7.5% of total)

ival-sub: 4.0ms (7.5% of total)

ival-true: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Status

Accuracy

Program

▶

99.6%

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify246.0ms (1.4%)

Memory

-2.9MiB live, 467.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	2912	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	50	124
2	137	124
3	456	124
4	1702	124
5	5011	124
0	8123	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
1
6931/10000
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(* 2 v)
2

Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(fma.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 0 binary32))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32)))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32)))
(/ (* cosTheta_i cosTheta_O) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 0 binary32))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
6931/10000
#s(literal 6931/10000 binary32)
(log (/ 1 (* 2 v)))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(/ 1 (* 2 v))
(/.f32 #s(literal 1/2 binary32) v)
(* 2 v)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize66.0ms (0.4%)

Memory

-8.8MiB live, 115.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓	accuracy	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	77.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	73.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

44.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 9.0ms (29.3% of total)

ival-div: 7.0ms (22.8% of total)

ival-mult: 5.0ms (16.3% of total)

ival-log: 3.0ms (9.8% of total)

ival-exp: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

ival-sub: 2.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.5%)

Memory

18.3MiB live, 173.1MiB allocated

Counts

7 → 276

Calls

Call 1

Inputs
#<alt (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))>
#<alt (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))>
#<alt (/ 1 (* 2 v))>
#<alt (log (/ 1 (* 2 v)))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>

Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* 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 (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>

Calls

69 calls:

Time	Variable		Point	Expression
27.0ms	v	@	0	(log (/ 1 (* 2 v)))
19.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
5.0ms	cosTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) v)
3.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite447.0ms (2.6%)

Memory

-3.1MiB live, 874.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`accelerator-lowering-fma.f32`
9 370×	`accelerator-lowering-fma.f64`
4 860×	`/-lowering-/.f32`
4 860×	`/-lowering-/.f64`
3 374×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	134	64
2	1494	64
0	8235	64

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 509

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(/ 1 (* 2 v))
(log (/ 1 (* 2 v)))
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

Outputs
(exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (-.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (neg.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (-.f32 #s(literal 0 binary32) (.f32 v #s(literal -2 binary32))))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (.f32 v #s(literal 2 binary32))))))
(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))))
(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
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simplify498.0ms (2.9%)

Memory

-4.3MiB live, 959.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
5 966×	`-lowering-.f32`
5 966×	`-lowering-.f64`
5 234×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_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)
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_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)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))

Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_i (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))) (.f32 v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) #s(literal 1/6 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))) (.f32 v v))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (.f32 v v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))))) (.f32 v (.f32 v v)))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 sinTheta_O v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 sinTheta_i v)))

eval81.0ms (0.5%)

Memory: 0.1MiB live, 189.6MiB allocated
Compiler: Compiled 28 177 to 2 562 computations (90.9% saved)

prune109.0ms (0.6%)

Memory

-6.8MiB live, 197.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	775	10	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	776	10	786

Accuracy

99.8%

Counts

786 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
	88.8%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
▶	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	4.7%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
	99.7%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
	12.5%	(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
▶	14.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 428 to 300 computations (29.9% saved)

simplify238.0ms (1.4%)

Memory

24.4MiB live, 380.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	96	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓	cost-diff	3264	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	64	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	96	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	160	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	-32	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	cost-diff	64	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	96	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	224	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v))
✓	cost-diff	4160	(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))

Rules

5 494×	`accelerator-lowering-fma.f32`
5 494×	`accelerator-lowering-fma.f64`
4 586×	`-lowering-.f32`
4 586×	`-lowering-.f64`
1 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	319
1	86	313
2	218	278
3	673	278
4	2737	278
5	4594	278
6	6029	278
7	7019	278
0	8038	263

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* cosTheta_O (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))) (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))))
cosTheta_O
(* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
6931/10000
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(/ -1 v)
-1
(/ cosTheta_i v)
cosTheta_i
(exp (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
cosTheta_i
(/ cosTheta_O v)
cosTheta_O
v
(* (exp 6931/10000) (* 1/2 (/ 1 v)))
(exp 6931/10000)
6931/10000
(* 1/2 (/ 1 v))
1/2
(/ 1 v)
1
v
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
6931/10000
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(/ -1 v)
-1
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
v
2
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1

Outputs
(+ (* cosTheta_O (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))) (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) v)) #s(literal 0 binary32))
cosTheta_O
(* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (*.f32 v v))
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 0 binary32))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(exp (* cosTheta_i (/ cosTheta_O v)))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32)))
(* cosTheta_i (/ cosTheta_O v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32))
cosTheta_i
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
v
(* (exp 6931/10000) (* 1/2 (/ 1 v)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* 1/2 (/ 1 v))
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 0 binary32))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v))) (*.f32 v #s(literal 2 binary32)))
(/ (exp 6931/10000) (* v 2))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
v
2
#s(literal 2 binary32)
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32))))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32))))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
(-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)

localize136.0ms (0.8%)

Memory

14.4MiB live, 208.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.7%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_O v)
✓	accuracy	99.9%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	100.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v))
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))

Samples

78.0ms

256×

valid

Compiler

Compiled 306 to 41 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 18.0ms (34% of total)

ival-div: 12.0ms (22.7% of total)

ival-exp: 8.0ms (15.1% of total)

const: 7.0ms (13.2% of total)

ival-add: 6.0ms (11.3% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series109.0ms (0.6%)

Memory

-16.7MiB live, 136.0MiB allocated

Counts

19 → 624

Calls

Call 1

Inputs
#<alt (+ (* cosTheta_O (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))) (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))))>
#<alt (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))>
#<alt (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))>
#<alt (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))>
#<alt (exp (* cosTheta_i (/ cosTheta_O v)))>
#<alt (/ cosTheta_O v)>
#<alt (* cosTheta_i (/ cosTheta_O v))>
#<alt (* 1/2 (/ 1 v))>
#<alt (* (exp 6931/10000) (* 1/2 (/ 1 v)))>
#<alt (exp 6931/10000)>
#<alt (/ 1 v)>
#<alt (/ 1/2 v)>
#<alt (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))>
#<alt (* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))>
#<alt (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)>
#<alt (/ (exp 6931/10000) (* v 2))>
#<alt (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))>
#<alt (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))>
#<alt (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))>

Outputs
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))>
#<alt (* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))>
#<alt (* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))>
#<alt (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* -1/12 (/ (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))) (pow v 4)))))))))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* -1/12 (/ (* (pow sinTheta_O 3) (exp (- 6931/10000 (/ 1 v)))) (pow v 4)))))))))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))>
#<alt (* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))>
#<alt (* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))>
#<alt (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_i (exp 6931/10000)) (pow v 2)))>
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#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>

Calls

156 calls:

Time	Variable		Point	Expression
19.0ms	cosTheta_i	@	inf	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
6.0ms	v	@	-inf	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
5.0ms	v	@	0	(+ (* cosTheta_O (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))) (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))))
5.0ms	cosTheta_i	@	0	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
5.0ms	sinTheta_i	@	0	(* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))

rewrite395.0ms (2.3%)

Memory

-21.6MiB live, 631.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 256×	`accelerator-lowering-fma.f32`
5 256×	`accelerator-lowering-fma.f64`
4 376×	`/-lowering-/.f32`
4 376×	`/-lowering-/.f64`
3 826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	195
1	188	183
2	1449	183
0	8437	172

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 854

Calls

Call 1

Inputs
(+ (* cosTheta_O (* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))) (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))))
(* (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))) (/ cosTheta_i v))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(exp (* cosTheta_i (/ cosTheta_O v)))
(/ cosTheta_O v)
(* cosTheta_i (/ cosTheta_O v))
(* 1/2 (/ 1 v))
(* (exp 6931/10000) (* 1/2 (/ 1 v)))
(exp 6931/10000)
(/ 1 v)
(/ 1/2 v)
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(/ (exp 6931/10000) (* v 2))
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))

Outputs
(+.f32 (/.f32 (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (*.f32 v v))))
(+.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v))) (/.f32 (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32))))
(+.f32 (/.f32 (pow.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) v)) (neg.f32 (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v #s(literal 2 binary32))) (exp.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 (-.f32 (.f32 (.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) v))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))
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(.f32 (neg.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i))) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(.f32 (-.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))))

simplify552.0ms (3.2%)

Memory

31.2MiB live, 984.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 840×	`accelerator-lowering-fma.f32`
10 840×	`accelerator-lowering-fma.f64`
8 908×	`-lowering-.f32`
8 908×	`-lowering-.f64`
4 470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	889	10640
1	2827	10140
0	8237	9526

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* -1/12 (/ (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))) (pow v 4)))))))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* -1/12 (/ (* (pow sinTheta_O 3) (exp (- 6931/10000 (/ 1 v)))) (pow v 4)))))))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp 6931/10000)) (pow v 2)))
(/ (+ (* -1/2 (/ (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (* cosTheta_i (exp 6931/10000)))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/4 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* 1/2 (* cosTheta_i (exp 6931/10000))))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* -1/12 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* 1/2 (* cosTheta_i (exp 6931/10000)))))) (pow v 2))
(* 1/2 (/ (* cosTheta_i (exp 6931/10000)) (pow v 2)))
(/ (+ (* -1/2 (/ (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (* cosTheta_i (exp 6931/10000)))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* 1/2 (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (* cosTheta_i (exp 6931/10000)))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 1/4 (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* 1/2 (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (* cosTheta_i (exp 6931/10000)))) (pow v 2))
(* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))
(+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))))))))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))
(+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))))))
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6931/10000
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6931/10000
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1
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1
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1
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1
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(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))

Outputs
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (.f32 v v))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (.f32 v v))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (.f32 v v))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (* 1/2 (* v (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))) (pow v 2))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32)))) (.f32 v v)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v)))))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32)))) (.f32 v v)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) #s(literal -1/12 binary32)) (fma.f32 #s(literal 1/4 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32))))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) (.f32 cosTheta_O #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i (exp.f32 #s(literal 6931/10000 binary32))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/4 binary32)))) v)) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))))) v)) (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
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(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
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(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
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(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
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(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))))
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(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (.f32 v v))
(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
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(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
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(* cosTheta_i (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (.f32 v v))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
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(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
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(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
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(/ (+ (* -1/2 (/ (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* -1/12 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))) (* 1/2 (* cosTheta_i (exp 6931/10000)))))) (pow v 2))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 1/4 (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* 1/2 (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (* cosTheta_i (exp 6931/10000)))) (pow v 2))
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(* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))
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(+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))))) (pow v 4))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_i cosTheta_i)) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) cosTheta_i) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O))) (pow.f32 v #s(literal 4 binary32))))))
(+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v)))))) (pow v 5))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))))))))
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(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (*.f32 v v))
(* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2)))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
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(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) cosTheta_O)))
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(* cosTheta_O cosTheta_i)
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(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
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(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
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(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)))
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(* -1 (* sinTheta_O sinTheta_i))
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(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) v) (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) v)) v))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 sinTheta_O)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 sinTheta_O)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O)))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O)))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O)))

eval478.0ms (2.8%)

Memory: -142.9MiB live, 436.6MiB allocated
Compiler: Compiled 72 839 to 4 303 computations (94.1% saved)

prune297.0ms (1.7%)

Memory

23.2MiB live, 451.7MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2 229	13	2 242
Fresh	1	4	5
Picked	4	1	5
Done	0	0	0
Total	2 234	18	2 252

Accuracy

99.9%

Counts

2 252 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	59.1%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
	2.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 (.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i)) v) (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v #s(literal 2 binary32))) (exp.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v))) #s(literal 2 binary32)))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
	6.3%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
▶	99.7%	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶	99.7%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
	59.1%	(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
	99.7%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
▶	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
	12.5%	(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
✓	14.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 901 to 572 computations (36.5% saved)

simplify358.0ms (2.1%)

Memory

-8.5MiB live, 518.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
✓	cost-diff	96	(*.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
✓	cost-diff	192	(/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	cost-diff	3552	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	96	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓	cost-diff	3264	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	cost-diff	0	(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
✓	cost-diff	0	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v)
✓	cost-diff	3328	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))

Rules

9 268×	`accelerator-lowering-fma.f32`
9 268×	`accelerator-lowering-fma.f64`
3 146×	`-lowering-.f32`
3 146×	`-lowering-.f64`
1 438×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	433
1	102	408
2	283	407
3	1129	407
4	4870	407
0	8220	374

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v) (* 1/2 (exp 6931/10000)))
(/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v)
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
(/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(neg v)
v
(* 1/2 (exp 6931/10000))
1/2
(exp 6931/10000)
6931/10000
1
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)
(+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))
cosTheta_O
cosTheta_i
(+ (* sinTheta_O (neg sinTheta_i)) -1)
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
v
(* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(* (/ 1/2 v) (exp 6931/10000))
(/ 1/2 v)
1/2
v
(exp 6931/10000)
6931/10000
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
(* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))))
(/ 1/2 v)
1/2
v
(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
(exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))
(/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
48038761/100000000
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
6931/10000
(/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(neg v)
(exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))
(/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
(/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v))
(* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1)))
(neg (+ (* sinTheta_O sinTheta_i) 1))
(* v v)

Outputs
(* (/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v) (* 1/2 (exp 6931/10000)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v)
(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)) v)
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v))
(/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(neg v)
(neg.f32 v)
v
(* 1/2 (exp 6931/10000))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
1/2
#s(literal 1/2 binary32)
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
1
#s(literal 1 binary32)
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
cosTheta_O
cosTheta_i
(+ (* sinTheta_O (neg sinTheta_i)) -1)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)
v
(* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
(* (/ 1/2 v) (exp 6931/10000))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 0 binary32))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)
(* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 v v #s(literal 0 binary32)) (-.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
(exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 v v #s(literal 0 binary32)) (-.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(neg v)
(neg.f32 v)
(exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))
(exp.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 0 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 v v #s(literal 0 binary32)))))
(/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
(/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 0 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 v v #s(literal 0 binary32))))
(/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 v v #s(literal 0 binary32))) #s(literal 0 binary32))
(* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1)))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 0 binary32))
(neg (+ (* sinTheta_O sinTheta_i) 1))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
(* v v)
(fma.f32 v v #s(literal 0 binary32))

localize163.0ms (1%)

Memory

-12.5MiB live, 355.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(exp.f32 (/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
✓	accuracy	99.5%	(/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))
✓	accuracy	98.9%	(/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	accuracy	57.1%	(/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	accuracy	100.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v))
✓	accuracy	98.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))
✓	accuracy	100.0%	(neg.f32 sinTheta_i)
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)
✓	accuracy	99.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	99.9%	(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v)
✓	accuracy	99.8%	(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))

Samples

91.0ms

256×

valid

Compiler

Compiled 408 to 47 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 15.0ms (22% of total)

ival-div: 14.0ms (20.6% of total)

ival-exp: 12.0ms (17.6% of total)

const: 12.0ms (17.6% of total)

ival-add: 6.0ms (8.8% of total)

ival-sub: 4.0ms (5.9% of total)

ival-neg: 4.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.5%)

Memory

8.5MiB live, 124.0MiB allocated

Counts

23 → 828

Calls

Call 1

Inputs
#<alt (* (/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v) (* 1/2 (exp 6931/10000)))>
#<alt (/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v)>
#<alt (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))>
#<alt (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))>
#<alt (exp (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)>
#<alt (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))>
#<alt (+ (* sinTheta_O (neg sinTheta_i)) -1)>
#<alt (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))>
#<alt (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)>
#<alt (* (/ 1/2 v) (exp 6931/10000))>
#<alt (/ 1/2 v)>
#<alt (/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))>
#<alt (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))>
#<alt (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1)))>
#<alt (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))>
#<alt (exp 6931/10000)>
#<alt (neg sinTheta_i)>
#<alt (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))>
#<alt (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))>
#<alt (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))>
#<alt (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v))>
#<alt (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))>

Outputs
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (/ (exp (/ -1 v)) v)>
#<alt (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (exp (/ -1 v)) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) (pow v 2))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ -1 v)))) (pow v 3))))) (/ (exp (/ -1 v)) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ -1 v)))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ -1 v))) (pow v 3))))))) (/ (exp (/ -1 v)) v))>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (/ -1 v)) v)>
#<alt (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (exp (/ -1 v)) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ -1 v)))) (pow v 3))))) (/ (exp (/ -1 v)) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ -1 v)))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ -1 v))) (pow v 3))))))) (/ (exp (/ -1 v)) v))>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))) v)>
#<alt (/ 1 v)>
#<alt (* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) v))) v)) 1) v))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ -1 v)))) (pow v 2))))))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ -1 v))) (pow v 2))))))))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ -1 v)))) (pow v 2))))))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ -1 v))) (pow v 2))))))))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))>
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#<alt (- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))>
#<alt (- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))>
#<alt (exp 6931/10000)>
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#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))>
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#<alt (+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))>
#<alt (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))>
#<alt (+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v)>
#<alt (/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v)>
#<alt (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))>
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#<alt (/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2))>
#<alt (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))>
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))>
#<alt 1>
#<alt (+ 1 (* 2 (* sinTheta_O sinTheta_i)))>
#<alt (+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))>
#<alt (+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))>
#<alt (* (pow sinTheta_O 2) (pow sinTheta_i 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))>
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#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))>
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#<alt 1>
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#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))>
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#<alt (+ 6931/10000 (/ 1 v))>
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#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
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#<alt (/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)>
#<alt 6931/10000>
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#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
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#<alt (* -1 sinTheta_i)>
#<alt (* -1 sinTheta_i)>
#<alt (* -1 sinTheta_i)>
#<alt (* -1 sinTheta_i)>
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#<alt (* -1 sinTheta_i)>
#<alt (* -1 sinTheta_i)>
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#<alt (* -1 sinTheta_i)>
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#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
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#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
#<alt (+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))>
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#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
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#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))>
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#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
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#<alt (* cosTheta_O cosTheta_i)>
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#<alt (* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
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#<alt (* cosTheta_O cosTheta_i)>
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#<alt (* -1 (* sinTheta_O sinTheta_i))>
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#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
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#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
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#<alt (/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
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#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))>
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#<alt (* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt (* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt 6931/10000>
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#<alt 6931/10000>
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#<alt (/ 1 (pow v 2))>
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#<alt (/ 1 (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 (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (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))>
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#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>

Calls

207 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_O	@	inf	(/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
4.0ms	sinTheta_O	@	0	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
4.0ms	v	@	0	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
4.0ms	sinTheta_i	@	0	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
3.0ms	v	@	-inf	(exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))

rewrite454.0ms (2.7%)

Memory

-4.5MiB live, 658.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 566×	`/-lowering-/.f32`
5 566×	`/-lowering-/.f64`
5 192×	`-lowering-.f32`
5 192×	`-lowering-.f64`
2 880×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	275
1	234	221
2	1899	220
0	8731	204

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 998

Calls

Call 1

Inputs
(* (/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v) (* 1/2 (exp 6931/10000)))
(/ (exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) v)
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
(/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)
(+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))
(+ (* sinTheta_O (neg sinTheta_i)) -1)
(* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(* (/ 1/2 v) (exp 6931/10000))
(/ 1/2 v)
(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
(/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
(* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))
(exp 6931/10000)
(neg sinTheta_i)
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))
(/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v))
(exp (/ (/ (* (neg (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (* sinTheta_O sinTheta_i) 1))) (* v v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))

Outputs
(pow.f32 (.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (exp.f32 (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v #s(literal 2 binary32)))))
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)) v)
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)))) v)
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) v)
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) (neg.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (neg.f32 (.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (neg.f32 v)) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)))
(.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1/2 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal -1 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 v)))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (neg.f32 v)))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
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(pow.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) #s(literal -1 binary32))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)))
(fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))))) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))))) #s(literal -1 binary32))
(fma.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32))
(fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 (*.f32 sinTheta_O #s(literal -1 binary32)) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(fma.f32 (.f32 sinTheta_O #s(literal -1 binary32)) sinTheta_i (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)))
(fma.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (pow.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))))) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (pow.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i)))
(-.f32 (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))))
(-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)))) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))))
(-.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))))) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))))) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))))
(/.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))))))
(/.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))))
(/.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (neg.f32 (fma.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)))))))
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(pow.f32 (pow.f32 (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 v v))))
(pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (*.f32 v v))))
(pow.f32 (exp.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (*.f32 v v))))
(pow.f32 (exp.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)))
(pow.f32 (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v v)))
(pow.f32 (exp.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v)))
(pow.f32 (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v)))))) (fma.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32)))
(pow.f32 (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 v v))))))

simplify595.0ms (3.5%)

Memory

-6.6MiB live, 1 048.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 428×	`-lowering-.f32`
6 428×	`-lowering-.f64`
5 776×	`accelerator-lowering-fma.f32`
5 776×	`accelerator-lowering-fma.f64`
4 170×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1585	20557
1	5133	19773
0	8229	18726

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

Inputs
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(/ (exp (/ -1 v)) v)
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (exp (/ -1 v)) v))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) (pow v 2))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ -1 v)))) (pow v 3))))) (/ (exp (/ -1 v)) v))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ -1 v)))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ -1 v))) (pow v 3))))))) (/ (exp (/ -1 v)) v))
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (/ -1 v)) v)
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (exp (/ -1 v)) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ -1 v)))) (pow v 3))))) (/ (exp (/ -1 v)) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ -1 v)))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ -1 v))) (pow v 3))))))) (/ (exp (/ -1 v)) v))
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ 1 v)
(/ (+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))) v)
(/ 1 v)
(* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) v))) v)) 1) v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))
(+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ -1 v)))) (pow v 2))))))
(+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ -1 v))) (pow v 2))))))))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))
(+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ -1 v)))) (pow v 2))))))
(+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ -1 v))) (pow v 2))))))))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
1
(+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))))
1
(+ 1 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* sinTheta_O sinTheta_i))) v)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* sinTheta_O sinTheta_i))) v)))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
-1
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))
(* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))
(* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
-1
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))
(* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))
(* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) 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)
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))
(+ (* sinTheta_O (- (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* sinTheta_O (- (+ (* sinTheta_O (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (+ (* (- (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))))) (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))
(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
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(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v)
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2))
(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2))
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
1
(+ 1 (* 2 (* sinTheta_O sinTheta_i)))
(+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))
(+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O)) (pow sinTheta_i 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O)) (pow sinTheta_i 2)))
1
(+ 1 (* 2 (* sinTheta_O sinTheta_i)))
(+ 1 (* sinTheta_i (+ (* 2 sinTheta_O) (* (pow sinTheta_O 2) sinTheta_i))))
(+ 1 (* sinTheta_i (+ (* 2 sinTheta_O) (* (pow sinTheta_O 2) sinTheta_i))))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (pow sinTheta_O 2)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ 1 (pow sinTheta_i 2)) (pow sinTheta_O 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ 1 (pow sinTheta_i 2)) (pow sinTheta_O 2))))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (pow sinTheta_O 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 sinTheta_O) (/ 1 sinTheta_i)) sinTheta_i)) (pow sinTheta_O 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 sinTheta_O) (/ 1 sinTheta_i)) sinTheta_i)) (pow sinTheta_O 2)))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(* -1 sinTheta_i)
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(/ 1 (pow v 2))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (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 (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ 1 (pow v 2))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (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 (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
1
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))
1
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))

Outputs
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (.f32 v v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 sinTheta_O (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v)))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (.f32 v v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) sinTheta_O)) (.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) sinTheta_O)) (.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
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(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
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(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
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1
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(* cosTheta_O cosTheta_i)
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(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(+ (* 48038761/100000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))))
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(+ (* v (+ (* -4351410491404879/20000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 48038761/100000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))))
(fma.f32 v (fma.f32 #s(literal -4351410491404879/20000000000000000 binary32) (/.f32 v (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))) (/.f32 #s(literal 48038761/100000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(+ (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/20000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/100000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))))
(fma.f32 v (fma.f32 v (fma.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) (/.f32 v (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))) (/.f32 #s(literal -4351410491404879/20000000000000000 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))) (/.f32 #s(literal 48038761/100000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32)) (.f32 v v)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) #s(literal -10000/6931 binary32))))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -100000000/48038761 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -66931/41586 binary32))) (.f32 v (.f32 v v))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32))) (.f32 v v)))) (fma.f32 (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) #s(literal -100000000/48038761 binary32) (fma.f32 (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) #s(literal -10000/6931 binary32) (/.f32 (.f32 (.f32 #s(literal 10000/6931 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v))))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32)) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -10000/6931 binary32))) (neg.f32 v))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 1/6 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 169310000/48038761 binary32))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal -169310000/48038761 binary32))) (neg.f32 v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32)) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -10000/6931 binary32)))) (neg.f32 v))) v))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (neg.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -6931/10000 binary32) sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (-.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))))))
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(.f32 sinTheta_O (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) v)))) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_i))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))
(neg.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i (neg.f32 v)) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O (.f32 v sinTheta_i)))) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O sinTheta_i))) #s(literal -6931/10000 binary32)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
(neg.f32 (.f32 sinTheta_O (neg.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_i))) (.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 (*.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_i))) sinTheta_O)) #s(literal -6931/10000 binary32)) sinTheta_O)))))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (neg.f32 (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (neg.f32 (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal -6931/10000 binary32) sinTheta_i))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(.f32 sinTheta_i (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O (.f32 v sinTheta_i)))) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O sinTheta_i))) #s(literal -6931/10000 binary32)) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 (*.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) sinTheta_i)) #s(literal -6931/10000 binary32)) sinTheta_i))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 v #s(literal -6931/10000 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v)
(/.f32 (+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v (fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v)
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(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v)) #s(literal 10000/6931 binary32))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -100000000/48038761 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32))) (*.f32 v v))
(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2))
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(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2))
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(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
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(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -100000000/48038761 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32))) (*.f32 v v))
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32) (/.f32 (fma.f32 #s(literal -1000000000000/332956652491 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) v) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 100000000/48038761 binary32))) (neg.f32 v))) (*.f32 v v))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32) (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -10000000000000000/2307722558415121 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) v) (.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)))) v) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -100000000/48038761 binary32)))) (neg.f32 v))) (.f32 v v))
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#s(literal 1 binary32)
(+ 1 (* 2 (* sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_i #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* 2 sinTheta_i) (* sinTheta_O (pow sinTheta_i 2)))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_i #s(literal 2 binary32))) #s(literal 1 binary32))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 (*.f32 sinTheta_i #s(literal 2 binary32)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ 1 (pow sinTheta_O 2)) (pow sinTheta_i 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (pow sinTheta_i 2))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (pow sinTheta_i 2)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 (*.f32 sinTheta_i #s(literal 2 binary32)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O)) (pow sinTheta_i 2)))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O)) (pow sinTheta_i 2)))
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#s(literal 1 binary32)
(+ 1 (* 2 (* sinTheta_O sinTheta_i)))
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(+ 1 (* sinTheta_i (+ (* 2 sinTheta_O) (* (pow sinTheta_O 2) sinTheta_i))))
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(+ 1 (* sinTheta_i (+ (* 2 sinTheta_O) (* (pow sinTheta_O 2) sinTheta_i))))
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(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (pow sinTheta_O 2)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ 1 (pow sinTheta_i 2)) (pow sinTheta_O 2))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ 1 (pow sinTheta_i 2)) (pow sinTheta_O 2))))
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(* (pow sinTheta_O 2) (pow sinTheta_i 2))
(.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (pow sinTheta_O 2)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 sinTheta_O) (/ 1 sinTheta_i)) sinTheta_i)) (pow sinTheta_O 2)))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 sinTheta_O) (/ 1 sinTheta_i)) sinTheta_i)) (pow sinTheta_O 2)))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_i) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_O) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) cosTheta_i) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) (.f32 cosTheta_O cosTheta_O))) (.f32 v v))) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_O) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_i) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_i) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 v (.f32 v v)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) (.f32 v v))))) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)) cosTheta_i) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
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(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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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(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
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(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (.f32 #s(literal 48038761/100000000 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (.f32 (.f32 v v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 sinTheta_O (.f32 v (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) sinTheta_O)) sinTheta_i)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 v sinTheta_O))) (neg.f32 sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 v sinTheta_O) (/.f32 (.f32 #s(literal 48038761/100000000 binary32) (fma.f32 (.f32 v (.f32 v v)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (neg.f32 (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O sinTheta_O))))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
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(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
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(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
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(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
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6931/10000
#s(literal 6931/10000 binary32)
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6931/10000
#s(literal 6931/10000 binary32)
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(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
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(/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
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(/.f32 #s(literal 1 binary32) (*.f32 v v))
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(/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
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(/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
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(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(fma.f32 sinTheta_i (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (.f32 (.f32 sinTheta_i (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (.f32 (.f32 sinTheta_i (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))) (fma.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 3 binary32))))))) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 10000/6931 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) #s(literal -100000000/48038761 binary32) (.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v)) #s(literal 10000/6931 binary32))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) #s(literal -100000000/48038761 binary32) (fma.f32 #s(literal 50000000/48038761 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 10000/6931 binary32) (/.f32 (*.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 v #s(literal 4 binary32)))))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 10000/6931 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) #s(literal -100000000/48038761 binary32) (.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v)) #s(literal 10000/6931 binary32))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 10000/6931 binary32)) (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 100000000/48038761 binary32) (/.f32 (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1346550000000/332956652491 binary32)) (neg.f32 v))) (.f32 v (.f32 v v)))))

eval375.0ms (2.2%)

Memory: 42.8MiB live, 498.8MiB allocated
Compiler: Compiled 82 843 to 6 969 computations (91.6% saved)

prune416.0ms (2.4%)

Memory

-27.6MiB live, 503.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	2 166	6	2 172
Fresh	2	10	12
Picked	4	1	5
Done	0	1	1
Total	2 172	18	2 190

Accuracy

99.9%

Counts

2 190 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
▶	59.1%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
▶	99.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
	2.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 (.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i)) v) (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v #s(literal 2 binary32))) (exp.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v))) #s(literal 2 binary32)))))
	6.3%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
	99.7%	(.f32 (/.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	59.1%	(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
	99.7%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	14.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 901 to 576 computations (36.1% saved)

simplify400.0ms (2.3%)

Memory

22.3MiB live, 297.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))
✓	cost-diff	3808	(fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v v)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
✓	cost-diff	0	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	cost-diff	0	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	cost-diff	32	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	3264	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))

Rules

7 090×	`accelerator-lowering-fma.f32`
7 090×	`accelerator-lowering-fma.f64`
4 384×	`-lowering-.f32`
4 384×	`-lowering-.f64`
2 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	351
1	115	346
2	303	332
3	820	332
4	2362	332
5	4200	332
6	6711	332
7	7615	332
0	8034	309

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
(* 1/2 (exp 6931/10000))
1/2
(exp 6931/10000)
6931/10000
(* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
v
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
1
(/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))
(* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v)))
1/2
(* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
6931/10000
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
v
(+ (* cosTheta_O cosTheta_i) v)
cosTheta_O
cosTheta_i
(* v v)
(* 1/2 (+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v)))
1/2
(+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/ (exp (+ 6931/10000 (/ -1 v))) (* v v))
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
v
(* v v)
(/ (exp (+ 6931/10000 (/ -1 v))) v)
(* (/ (exp 6931/10000) (* v 2)) (pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
v
2
(pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(exp 1)
1
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)
(+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))
cosTheta_O
cosTheta_i
(+ (* sinTheta_O (neg sinTheta_i)) -1)
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1

Outputs
(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))))
(* 1/2 (exp 6931/10000))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
1/2
#s(literal 1/2 binary32)
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
v
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
1
#s(literal 1 binary32)
(/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i v) #s(literal 0 binary32)) (.f32 (.f32 v v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))))
(* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v)))
(fma.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i v) #s(literal 0 binary32)) #s(literal 0 binary32))
1/2
#s(literal 1/2 binary32)
(* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))
(fma.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v) #s(literal 0 binary32))
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
v
(+ (* cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O cosTheta_i v)
cosTheta_O
cosTheta_i
(* v v)
(*.f32 v v)
(* 1/2 (+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v)))
(fma.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) (fma.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 0 binary32)) #s(literal 0 binary32))
1/2
#s(literal 1/2 binary32)
(+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v))
(fma.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 0 binary32))
(* cosTheta_O cosTheta_i)
(fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32))
cosTheta_O
cosTheta_i
(/ (exp (+ 6931/10000 (/ -1 v))) (* v v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))
(exp (+ 6931/10000 (/ -1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ 6931/10000 (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(* v v)
(*.f32 v v)
(/ (exp (+ 6931/10000 (/ -1 v))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(* (/ (exp 6931/10000) (* v 2)) (pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v)))
(/ (exp 6931/10000) (* v 2))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
v
2
#s(literal 2 binary32)
(pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v))
(exp 1)
(E.f32)
1
#s(literal 1 binary32)
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))) v)
(+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))
(fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32))))
cosTheta_O
cosTheta_i
(+ (* sinTheta_O (neg sinTheta_i)) -1)
(-.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)

localize188.0ms (1.1%)

Memory

8.7MiB live, 165.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
✓	accuracy	99.7%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	60.5%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))
✓	accuracy	100.0%	(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	99.8%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	60.6%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.9%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	100.0%	(*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	100.0%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	accuracy	99.8%	(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))

Samples

115.0ms

256×

valid

Compiler

Compiled 329 to 49 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 27.0ms (33.2% of total)

ival-mult: 23.0ms (28.3% of total)

ival-exp: 11.0ms (13.5% of total)

ival-add: 8.0ms (9.8% of total)

ival-pow: 5.0ms (6.1% of total)

const: 4.0ms (4.9% of total)

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

exact: 1.0ms (1.2% of total)

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

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

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

series140.0ms (0.8%)

Memory

-26.2MiB live, 49.8MiB allocated

Counts

22 → 672

Calls

Call 1

Inputs
#<alt (/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (exp 6931/10000)>
#<alt (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v)))>
#<alt (+ (* cosTheta_O (/ cosTheta_i v)) 1)>
#<alt (/ cosTheta_i v)>
#<alt (/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))>
#<alt (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))>
#<alt (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))>
#<alt (/ (+ (* sinTheta_O sinTheta_i) 1) v)>
#<alt (+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v))>
#<alt (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))>
#<alt (exp (+ 6931/10000 (/ -1 v)))>
#<alt (+ 6931/10000 (/ -1 v))>
#<alt (exp 1)>
#<alt (* (/ (exp 6931/10000) (* v 2)) (pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)))>
#<alt (/ (exp 6931/10000) (* v 2))>
#<alt (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))>
#<alt (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (exp (+ 6931/10000 (/ -1 v))) v)>
#<alt (pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)>

Outputs
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))>
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))>
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>

Calls

168 calls:

Time	Variable		Point	Expression
23.0ms	v	@	0	(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
1.0ms	sinTheta_O	@	0	(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
1.0ms	sinTheta_i	@	0	(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
1.0ms	sinTheta_O	@	inf	(/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))
1.0ms	sinTheta_i	@	inf	(/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))

rewrite805.0ms (4.7%)

Memory

5.5MiB live, 482.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 050×	`/-lowering-/.f32`
5 050×	`/-lowering-/.f64`
4 756×	`-lowering-.f32`
4 756×	`-lowering-.f64`
3 068×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	218
1	260	212
2	2193	212
0	8851	197

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 721

Calls

Call 1

Inputs
(/ (* 1/2 (exp 6931/10000)) (* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
(* 1/2 (exp 6931/10000))
(exp 6931/10000)
(* v (exp (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(/ cosTheta_i v)
(/ (* 1/2 (* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))) (* v v))
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(+ (* (* cosTheta_O cosTheta_i) (/ (exp (+ 6931/10000 (/ -1 v))) (* v v))) (/ (exp (+ 6931/10000 (/ -1 v))) v))
(/ (exp (+ 6931/10000 (/ -1 v))) (* v v))
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
(exp 1)
(* (/ (exp 6931/10000) (* v 2)) (pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)))
(/ (exp 6931/10000) (* v 2))
(exp (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(* (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (+ (* cosTheta_O cosTheta_i) v))
(/ (exp (+ 6931/10000 (/ -1 v))) v)
(pow (exp 1) (/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1)) v)

Outputs
(neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v))))
(neg.f32 (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(/.f32 (neg.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) (neg.f32 (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v))))
(/.f32 (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (neg.f32 v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (neg.f32 (neg.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))))) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))
(.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal -1 binary32)))
(.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (pow.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))))
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (*.f32 v v))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(fma.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 1 binary32))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O #s(literal 1 binary32))
(fma.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(-.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (*.f32 v v))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (*.f32 v v))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))) #s(literal 1 binary32)) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)))
(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))))
(/.f32 (neg.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32))) (neg.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32))) (.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 v v)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal -1 binary32)))))
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(/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))))))
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal 1 binary32)) (.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) v))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal 1 binary32)) (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (neg.f32 (.f32 v (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))))))
(/.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (neg.f32 (.f32 v (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) v)
(/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v)
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))) (neg.f32 v))
(/.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) v)) (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) v)))
(/.f32 (neg.f32 (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal 1 binary32))) (neg.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))))))
(/.f32 (neg.f32 (.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v) #s(literal 1 binary32))
(.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) #s(literal -1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i))))))
(.f32 (pow.f32 (/.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_i)) (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))))

simplify556.0ms (3.3%)

Memory

-0.3MiB live, 1 159.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 156×	`accelerator-lowering-fma.f32`
7 156×	`accelerator-lowering-fma.f64`
7 096×	`-lowering-.f32`
7 096×	`-lowering-.f64`
5 172×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1123	12731
1	3665	12076
0	8097	11231

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

Inputs
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (+ (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))))) v)) (* 1/2 (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v)))))))) (* -1/2 (/ (* sinTheta_i (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))) v)) (+ (* -1/2 (/ (* (pow sinTheta_i 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))) (* 1/6 (/ (* (pow sinTheta_i 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))))))) (* -1/2 (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))))))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v)))))))) (* -1/2 (/ (* sinTheta_O (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))) v)) (+ (* -1/2 (/ (* (pow sinTheta_O 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))) (* 1/6 (/ (* (pow sinTheta_O 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))))))) (* -1/2 (+ (* -1 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))))))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) (* 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
(* v (+ 1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1 (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* v (+ 1 (+ (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
v
(* -1 (* v (- (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* sinTheta_O sinTheta_i))) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) v)) (* sinTheta_O sinTheta_i))) v)) 1)))
(* v (exp (/ 1 v)))
(+ (* sinTheta_O (* sinTheta_i (exp (/ 1 v)))) (* v (exp (/ 1 v))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ 1 v)))) v)) (* sinTheta_i (exp (/ 1 v))))) (* v (exp (/ 1 v))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ 1 v))) v)))) (* sinTheta_i (exp (/ 1 v))))) (* v (exp (/ 1 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 v)))
(+ (* sinTheta_O (* sinTheta_i (exp (/ 1 v)))) (* v (exp (/ 1 v))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ 1 v)))) v)) (* sinTheta_O (exp (/ 1 v))))) (* v (exp (/ 1 v))))
(+ (* sinTheta_i (+ (* sinTheta_O (exp (/ 1 v))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ 1 v))) v)))))) (* v (exp (/ 1 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)))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
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(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
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(+ 1 (/ (* cosTheta_O cosTheta_i) v))
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(+ 1 (/ (* cosTheta_O cosTheta_i) v))
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(/ cosTheta_i v)
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(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
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(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
(* 1/2 (/ (* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i))) (pow v 2)))
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(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))
(* 1/2 (/ (exp 6931/10000) v))
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(/ (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i (exp 6931/10000)))) v)))) v)
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(* 1/2 (/ (exp 6931/10000) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (* 1/2 (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))))) v)) (* 1/2 (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i (exp 6931/10000)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(exp (- 6931/10000 (/ 1 v)))
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(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (/ 1 v)))
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(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp 6931/10000)
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(exp 6931/10000)
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(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
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(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
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(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(/ 1 v)
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(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
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(exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
1
(+ 1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ 1 (+ (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
1
(+ 1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v))) v)))
(* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) v)) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 2))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) (pow v 2))))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) v)) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 2))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) (pow v 2))))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* v (exp 6931/10000))
(* v (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v))))
(* v (+ (exp 6931/10000) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v))))))
(* v (+ (exp 6931/10000) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v))))))))
(* v (exp 6931/10000))
(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i (exp 6931/10000)))) v)))))
(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)))))
(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))))) v)) (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)))))
(* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/ (exp 6931/10000) v)
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v)
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v)
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) v)
(/ (exp 6931/10000) v)
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)

Outputs
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3))) (* 1/2 (exp 6931/10000))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal -1/3 binary32)))) (.f32 v (.f32 v v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (+ (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))))) v)) (* 1/2 (+ (* -1 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal 1/3 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) v) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v)))) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v)))))))) (* -1/2 (/ (* sinTheta_i (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))
(fma.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v (.f32 v v)))) #s(literal -1/2 binary32)) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v))))) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))) v)) (+ (* -1/2 (/ (* (pow sinTheta_i 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))) (* 1/6 (/ (* (pow sinTheta_i 3) (exp 6931/10000)) (* (pow v 4) (exp (/ 1 v))))))))) (* -1/2 (+ (* -1 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v (.f32 v v)))) #s(literal -1/2 binary32)) v) (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/3 binary32))) (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v (.f32 v v)))) #s(literal -1/2 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v))))) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v)))) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 3) (exp (/ 1 v)))))))) (* -1/2 (/ (* sinTheta_O (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))
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(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (.f32 cosTheta_O (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal -1/6 binary32))) v) (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* cosTheta_O (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (* -1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_O)))) (neg.f32 cosTheta_O))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))))
(* cosTheta_i (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
(.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (* -1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v cosTheta_i)))) (neg.f32 cosTheta_i))
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v)) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
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(exp 6931/10000)
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6931/10000
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6931/10000
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(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
1
#s(literal 1 binary32)
(+ 1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v))) v)))
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(* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 2))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) (pow v 2))))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))
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(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 2))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
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(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i)))) (pow v 2))))))) (* (exp (- 6931/10000 (/ 1 v))) (+ v (* cosTheta_O cosTheta_i))))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ v (* cosTheta_O cosTheta_i)))
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(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(* v (exp 6931/10000))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
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(* v (+ (exp 6931/10000) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v))))))
(.f32 v (+.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i)) v)))))
(* v (+ (exp 6931/10000) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) (pow v 2))) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (exp 6931/10000))) v))))))))
(.f32 v (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (neg.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) cosTheta_i) (.f32 v v)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i)) v))))))
(* v (exp 6931/10000))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i (exp 6931/10000)))) v)))))
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(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)))))
(.f32 (-.f32 (-.f32 #s(literal 0 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (fma.f32 cosTheta_O (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i) (/.f32 (fma.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (neg.f32 v)))) v)) (neg.f32 v))
(* -1 (* v (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) v)) (+ (* -1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))))) v)) (* cosTheta_O (* cosTheta_i (exp 6931/10000))))) v)))))
(neg.f32 (.f32 v (-.f32 (-.f32 #s(literal 0 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (neg.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal -1/6 binary32))) v)) v))) (.f32 cosTheta_O (.f32 (exp.f32 #s(literal 6931/10000 binary32)) cosTheta_i))) v))))
(* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(*.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(.f32 cosTheta_O (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O)))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(.f32 cosTheta_O (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O)))
(* cosTheta_O (+ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))
(.f32 cosTheta_O (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O)))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(.f32 (neg.f32 (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(.f32 (neg.f32 (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(.f32 (neg.f32 (fma.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O))) (neg.f32 cosTheta_O))
(* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(*.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(.f32 cosTheta_i (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(.f32 cosTheta_i (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(* cosTheta_i (+ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(.f32 cosTheta_i (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(.f32 (neg.f32 (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(.f32 (neg.f32 (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(.f32 (neg.f32 (fma.f32 v (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) cosTheta_i) (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (neg.f32 cosTheta_i))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(/ (exp (- 6931/10000 (/ 1 v))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(/ (exp 6931/10000) v)
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v)
(/.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) v)
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v)
(/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v v)) (-.f32 #s(literal 0 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))) v)
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(/.f32 (+.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v v)) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/6 binary32)) (.f32 v (.f32 v v))))) v)
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(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(/.f32 (-.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
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(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
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(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_i))) (.f32 v v)) (/.f32 (*.f32 cosTheta_i (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
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(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
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(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (.f32 v v)) (/.f32 (*.f32 cosTheta_O (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (.f32 v v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) cosTheta_i) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v v))))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
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(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
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(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (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 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v v))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (.f32 v v)))) (/.f32 #s(literal -1 binary32) v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (.f32 v (.f32 v v))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v v))))) (/.f32 #s(literal -1 binary32) v)))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) v) (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) v))) v))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_O))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_O))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_O))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) cosTheta_O))) (neg.f32 cosTheta_O))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_i)))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_i)))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (*.f32 v cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_i)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_i)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_i)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)

eval146.0ms (0.9%)

Memory: 1.0MiB live, 358.6MiB allocated
Compiler: Compiled 42 146 to 3 974 computations (90.6% saved)

prune198.0ms (1.2%)

Memory

10.9MiB live, 339.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 510	9	1 519
Fresh	3	8	11
Picked	5	0	5
Done	0	2	2
Total	1 518	19	1 537

Accuracy

100.0%

Counts

1 537 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.0%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	59.1%	(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i v) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v)))) (.f32 v v))
	59.1%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v))
	50.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
	59.2%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i v))) (.f32 v v))
	99.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (pow.f32 (E.f32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
	99.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
	6.3%	(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
	99.7%	(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
	99.7%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	14.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 278 to 521 computations (59.2% saved)

regimes107.0ms (0.6%)

Memory

6.6MiB live, 163.4MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i v) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v)))) (.f32 v v))
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (pow.f32 (E.f32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i v))) (.f32 v v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 (.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i)) v) (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v #s(literal 2 binary32))) (exp.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) cosTheta_i) (.f32 v v))) #s(literal 2 binary32)))))

Outputs

(fma.f32 cosTheta_O (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))

Calls

9 calls:

18.0ms	cosTheta_O
13.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	sinTheta_O
10.0ms	cosTheta_i
10.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes105.0ms (0.6%)

Memory

-1.0MiB live, 110.3MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i v) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v)))) (.f32 v v))
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (pow.f32 (E.f32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i v))) (.f32 v v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))

Outputs
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))

Calls

9 calls:

32.0ms	cosTheta_O
12.0ms	v
11.0ms	(*.f32 sinTheta_i sinTheta_O)
8.0ms	sinTheta_O
8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes46.0ms (0.3%)

Memory

-6.9MiB live, 35.4MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i v) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v)))) (.f32 v v))
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))

Outputs
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))

Calls

5 calls:

25.0ms	cosTheta_O
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	sinTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes26.0ms (0.2%)

Memory

10.6MiB live, 48.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta_O cosTheta_i v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 cosTheta_O cosTheta_i v))) (*.f32 v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i v) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 cosTheta_O cosTheta_i (neg.f32 v)))) (.f32 v v))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes20.0ms (0.1%)

Memory

-1.0MiB live, 37.1MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)))) v)) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))

Outputs
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`cosTheta_i`
97.5%	1	`cosTheta_O`
97.5%	1	`sinTheta_i`
97.5%	1	`sinTheta_O`
97.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes15.0ms (0.1%)

Memory

-9.7MiB live, 28.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Calls

5 calls:

4.0ms	cosTheta_O
2.0ms	sinTheta_O
2.0ms	cosTheta_i
2.0ms	v
2.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
42.8%	2	`cosTheta_i`
43.6%	2	`cosTheta_O`
38.0%	1	`sinTheta_i`
38.0%	1	`sinTheta_O`
38.0%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Calls

3 calls:

2.0ms	cosTheta_i
2.0ms	v
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
38.0%	1	`v`
38.0%	1	`cosTheta_i`
38.0%	1	`cosTheta_O`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes7.0ms (0%)

Memory

15.6MiB live, 15.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`sinTheta_O`
6.5%	1	`sinTheta_i`
6.5%	1	`cosTheta_i`
6.5%	1	`cosTheta_O`
6.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.231110213772979e-10	1.988067904745705e-10

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify12.0ms (0.1%)

Memory

-31.1MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary32`
4×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	96
1	56	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(if (<=.f32 cosTheta_O #s(literal 10808639/72057594037927936 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

Outputs
(fma.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(if (<=.f32 cosTheta_O #s(literal 10808639/72057594037927936 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

soundness1.1s (6.4%)

Memory

44.6MiB live, 1 177.5MiB allocated

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
10 840×	`accelerator-lowering-fma.f32`
10 840×	`accelerator-lowering-fma.f64`
8 908×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926
0	1123	12731
1	3665	12076
0	8097	11231
0	44	275
1	234	221
2	1899	220
0	8731	204
0	39	195
1	188	183
2	1449	183
0	8437	172
0	889	10640
1	2827	10140
0	8237	9526
0	1585	20557
1	5133	19773
0	8229	18726

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

Compiler

Compiled 317 to 216 computations (31.9% saved)

preprocess55.0ms (0.3%)

Memory

-16.6MiB live, 178.5MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 590 to 278 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze451.0ms (2.6%)

sample5.9s (34.8%)

preprocess302.0ms (1.8%)

explain245.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify246.0ms (1.4%)

localize66.0ms (0.4%)

series90.0ms (0.5%)

rewrite447.0ms (2.6%)

simplify498.0ms (2.9%)

eval81.0ms (0.5%)

prune109.0ms (0.6%)

simplify238.0ms (1.4%)

localize136.0ms (0.8%)

series109.0ms (0.6%)

rewrite395.0ms (2.3%)

simplify552.0ms (3.2%)

eval478.0ms (2.8%)

prune297.0ms (1.7%)

simplify358.0ms (2.1%)

localize163.0ms (1%)

series83.0ms (0.5%)

rewrite454.0ms (2.7%)

simplify595.0ms (3.5%)

eval375.0ms (2.2%)

prune416.0ms (2.4%)

simplify400.0ms (2.3%)

localize188.0ms (1.1%)

series140.0ms (0.8%)

rewrite805.0ms (4.7%)

simplify556.0ms (3.3%)

eval146.0ms (0.9%)

prune198.0ms (1.2%)

regimes107.0ms (0.6%)

regimes105.0ms (0.6%)

regimes46.0ms (0.3%)

regimes26.0ms (0.2%)

regimes20.0ms (0.1%)

regimes15.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.1s (6.4%)

preprocess55.0ms (0.3%)

end0.0ms (0%)

Profiling