Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze645.0ms (5.1%)

Memory

-5.8MiB live, 882.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.9s (22.7%)

Memory

-59.8MiB live, 3 594.9MiB allocated

Samples

2.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 336.0ms (18.2% of total)

ival-div: 325.0ms (17.6% of total)

const: 322.0ms (17.5% of total)

ival-neg: 299.0ms (16.2% of total)

ival-<=: 249.0ms (13.5% of total)

ival-exp: 137.0ms (7.4% of total)

ival-sinh: 78.0ms (4.2% of total)

ival-and: 59.0ms (3.2% of total)

ival-<: 20.0ms (1.1% of total)

exact: 17.0ms (0.9% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain200.0ms (1.6%)

Memory

-2.0MiB live, 276.5MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
2	(-2.5543211643053176e-11 5.727669405792597e-36 8.722102879899101e-34 -6.717814238915709e-13 0.17778407037258148)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
4	(-4.369424873859381e-20 1.1418361780017691e-26 1.075361275140712e-31 -9.9491367665835e-16 0.3768210709095001)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	4	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	91
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	81

Confusion

	Predicted +	Predicted -
+	0	0
-	5	251

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	251
1	4
2	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

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

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

ival-div: 13.0ms (32.4% of total)

ival-sinh: 5.0ms (12.4% of total)

ival-exp: 4.0ms (10% of total)

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

exact: 1.0ms (2.5% of total)

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

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

preprocess165.0ms (1.3%)

Memory

25.3MiB live, 175.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	575	449
2	2202	420
0	19	22
0	31	22
1	71	22
2	219	21
3	1057	21
4	5884	21
0	8364	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify130.0ms (1%)

Memory

-18.9MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	71	92
2	219	90
3	1057	90
4	5884	90
0	8364	90

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (0.3%)

Memory

17.3MiB live, 54.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.27403762185195957	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2793350586106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

31.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.4% of total)

ival-div: 6.0ms (29.6% of total)

ival-exp: 2.0ms (9.9% of total)

ival-sinh: 2.0ms (9.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series70.0ms (0.6%)

Memory

-2.5MiB live, 82.3MiB allocated

Counts

8 → 52

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	cosTheta_i	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
7.0ms	v	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
6.0ms	sinTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	cosTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	v	@	inf	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify206.0ms (1.6%)

Memory

-3.5MiB live, 226.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite261.0ms (2.1%)

Memory

-40.3MiB live, 273.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68

Stop Event

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

Counts

8 → 588

Calls

Call 1

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

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

eval115.0ms (0.9%)

Memory: 25.7MiB live, 137.4MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune38.0ms (0.3%)

Memory

14.6MiB live, 90.5MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	600	34	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	601	34	635

Accuracy

99.6%

Counts

635 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.1%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
	98.5%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (*.f32 #s(literal -2 binary32) v))
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (+.f32 (.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
	98.6%	(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
▶	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 2 010 to 1 562 computations (22.3% saved)

simplify97.0ms (0.8%)

Memory

5.6MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	423
0	85	423
1	185	423
2	602	416
3	2879	415
0	8411	415

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.2%)

Memory

-27.9MiB live, 220.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19988251953688402	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.21484375	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.2793350586106521	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1640625	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
accuracy	0.2734375	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.37456082183788253	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.18359375	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.27403762185195957	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.05078125	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2793350586106521	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	13.167092470027718	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
accuracy	0.140625	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.3203125	(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.35775375976844204	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

109.0ms

256×

valid

Compiler

Compiled 417 to 46 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 34.0ms (39.4% of total)

ival-div: 32.0ms (37% of total)

ival-sinh: 8.0ms (9.3% of total)

ival-pow: 5.0ms (5.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series261.0ms (2.1%)

Memory

33.2MiB live, 461.0MiB allocated

Counts

23 → 134

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
60.0ms	cosTheta_i	@	0	((* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))))
46.0ms	sinTheta_O	@	inf	((* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))))
23.0ms	sinTheta_O	@	-inf	((* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))))
18.0ms	cosTheta_O	@	-inf	((* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))))
16.0ms	cosTheta_O	@	0	((* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))))

simplify182.0ms (1.5%)

Memory

-6.8MiB live, 225.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	4271
1	2830	4071
0	8102	3893

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 134

Calls

Call 1

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

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

rewrite105.0ms (0.8%)

Memory

-22.7MiB live, 103.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	277
0	85	277
1	234	277
0	1209	277

Stop Event

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

Counts

23 → 625

Calls

Call 1

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

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

eval64.0ms (0.5%)

Memory: 46.7MiB live, 117.4MiB allocated
Compiler: Compiled 17 777 to 2 122 computations (88.1% saved)

prune122.0ms (1%)

Memory

-18.5MiB live, 106.1MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	505	37	542
Fresh	17	12	29
Picked	4	1	5
Done	0	0	0
Total	526	50	576

Accuracy

99.7%

Counts

576 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
	98.5%	(/.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) v)
	98.0%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) cosTheta_O) (.f32 v v))
▶	98.7%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
	98.5%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i) cosTheta_O) v)
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.8%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
	56.6%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1/2 binary32)))) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
	58.9%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	97.8%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v))
	59.0%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
	58.9%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
	98.5%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (sinh (/ 1 v)) (.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.7%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	98.8%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O))
	98.7%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))
	98.5%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v)))
	98.8%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
	56.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
▶	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
▶	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
✓	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
▶	58.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	98.4%	#s(approx (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 3 204 to 2 498 computations (22% saved)

simplify157.0ms (1.3%)

Memory

-8.1MiB live, 146.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i)
cost-diff	0	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
cost-diff	1	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O)
cost-diff	0	(/.f32 cosTheta_i (*.f32 v v))
cost-diff	0	(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	#s(approx (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	0	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cost-diff	0	#s(approx (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v))
cost-diff	0	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
cost-diff	1	(fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
cost-diff	2	(fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) cosTheta_i))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v))
cost-diff	0	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v))
cost-diff	0	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	1	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	651
0	129	651
1	273	647
2	884	637
3	4925	637
0	8350	631

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.2%)

Memory

-3.4MiB live, 200.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
accuracy	0.20703125	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)
accuracy	0.2578125	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i)
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.25390625	(/.f32 cosTheta_i (*.f32 v v))
accuracy	0.35546875	(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.75775047704174	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.7880417180792576	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.35546875	(*.f32 #s(literal -1/6 binary32) cosTheta_i)
accuracy	0.41289234264898866	(/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))
accuracy	24.89527797555759	#s(approx (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v))
accuracy	25.92644745169771	(fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.05078125	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
accuracy	0.125	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy	13.167092470027718	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
accuracy	0.140625	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
accuracy	0.3515625	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v))
accuracy	0.36328125	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

211.0ms	252×	0	valid
3.0ms	4×	1	valid

Compiler

Compiled 551 to 70 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-div: 66.0ms (34.9% of total)

ival-mult: 57.0ms (30.1% of total)

const: 39.0ms (20.6% of total)

ival-exp: 10.0ms (5.3% of total)

ival-pow: 6.0ms (3.2% of total)

ival-sinh: 4.0ms (2.1% of total)

ival-add: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series307.0ms (2.5%)

Memory

2.4MiB live, 282.1MiB allocated

Counts

27 → 184

Calls

Call 1

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

Outputs
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* -1 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* -1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(* cosTheta_i (+ (* -1/2 (- (/ (* sinTheta_O sinTheta_i) v) 1)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (pow v 2))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/ (* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))
(* -1/6 cosTheta_i)
(* -1 (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(* -1 (/ (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(/ cosTheta_O v)
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1/2 (/ cosTheta_i (pow v 2)))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (pow v 3))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_i sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 4))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))))))))
(/ -1/2 v)
(- (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(- (* sinTheta_i (+ (* -1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))
(- (* sinTheta_i (+ (* 1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))))))) (* 1/2 (/ 1 v)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) v)) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2)))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))
(* 1/2 (/ cosTheta_i v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(* -1/6 (/ cosTheta_i (pow v 2)))
(+ (* -1/6 (/ cosTheta_i (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))
(* -1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_i 2))) (* 1/2 (* cosTheta_i (pow sinTheta_O 2)))))
(* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_i 2)))))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_i)) (* 1/2 (/ (* cosTheta_i sinTheta_O) v))) sinTheta_i)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 4))) (* 1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))))))))
(- (* sinTheta_O (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))
(- (* sinTheta_O (+ (* 1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) v)) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_O 2))) (* 1/2 (* cosTheta_i (pow sinTheta_i 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_O 2)))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_i sinTheta_i) v))) sinTheta_O)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))
(/ (+ (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (* cosTheta_i v))))) (pow v 2))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(exp (/ -1 v))
(exp (/ 1 v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 cosTheta_i)))) v)
(/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (pow v 2))
(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) v)
(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v)))) 1/2) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i)) (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i))) (+ (* -1/1440 cosTheta_i) (* 1/10080 cosTheta_i))) (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (+ (* 1/240 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i))) (* 1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i)) (pow v 4))) (* -1/2 cosTheta_i)) (* -1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i))) (+ (* -1/10080 cosTheta_i) (* 1/1440 cosTheta_i))) (pow v 6))) (* -1/2 cosTheta_i)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* -1/240 (/ cosTheta_i (pow v 4))) (* 1/72 (/ cosTheta_i (pow v 4)))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

Calls

15 calls:

Time	Variable		Point	Expression
50.0ms	cosTheta_O	@	0	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_i (* v v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (* (sinh (/ 1 v)) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ -1 v)) (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (* -1/6 cosTheta_i) (exp (/ -1 v)) (exp (/ 1 v)) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
41.0ms	cosTheta_i	@	-inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_i (* v v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (* (sinh (/ 1 v)) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ -1 v)) (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (* -1/6 cosTheta_i) (exp (/ -1 v)) (exp (/ 1 v)) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
36.0ms	cosTheta_i	@	0	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_i (* v v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (* (sinh (/ 1 v)) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ -1 v)) (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (* -1/6 cosTheta_i) (exp (/ -1 v)) (exp (/ 1 v)) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
30.0ms	sinTheta_O	@	-inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_i (* v v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (* (sinh (/ 1 v)) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ -1 v)) (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (* -1/6 cosTheta_i) (exp (/ -1 v)) (exp (/ 1 v)) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
23.0ms	sinTheta_i	@	-inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_i (* v v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) cosTheta_O) (* (sinh (/ 1 v)) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ -1 v)) (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (* -1/6 cosTheta_i) (exp (/ -1 v)) (exp (/ 1 v)) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))

simplify189.0ms (1.5%)

Memory

11.3MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	5588
1	3719	5401
0	8125	5180

Stop Event

1×	iter limit
1×	node limit

Counts

184 → 184

Calls

Call 1

Inputs
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* -1 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* -1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(* cosTheta_i (+ (* -1/2 (- (/ (* sinTheta_O sinTheta_i) v) 1)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (pow v 2))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/ (* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))
(* -1/6 cosTheta_i)
(* -1 (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* -1 (* cosTheta_i (+ (* -1/2 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(* -1 (/ (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(/ cosTheta_O v)
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1/2 (/ cosTheta_i (pow v 2)))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (pow v 3))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_i sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 4))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))))))))
(/ -1/2 v)
(- (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(- (* sinTheta_i (+ (* -1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))
(- (* sinTheta_i (+ (* 1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))))))) (* 1/2 (/ 1 v)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) v)) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2)))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))
(* 1/2 (/ cosTheta_i v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(* -1/6 (/ cosTheta_i (pow v 2)))
(+ (* -1/6 (/ cosTheta_i (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))
(* -1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_i 2))) (* 1/2 (* cosTheta_i (pow sinTheta_O 2)))))
(* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_i 2)))))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_i)) (* 1/2 (/ (* cosTheta_i sinTheta_O) v))) sinTheta_i)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 4))) (* 1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))))))))
(- (* sinTheta_O (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))
(- (* sinTheta_O (+ (* 1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) v)) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_O 2))) (* 1/2 (* cosTheta_i (pow sinTheta_i 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_O 2)))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_i sinTheta_i) v))) sinTheta_O)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))
(/ (+ (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (* cosTheta_i v))))) (pow v 2))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(exp (/ -1 v))
(exp (/ 1 v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 cosTheta_i)))) v)
(/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (pow v 2))
(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) v)
(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v)))) 1/2) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i)) (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i))) (+ (* -1/1440 cosTheta_i) (* 1/10080 cosTheta_i))) (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (+ (* 1/240 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i))) (* 1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i)) (pow v 4))) (* -1/2 cosTheta_i)) (* -1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i))) (+ (* -1/10080 cosTheta_i) (* 1/1440 cosTheta_i))) (pow v 6))) (* -1/2 cosTheta_i)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* -1/240 (/ cosTheta_i (pow v 4))) (* 1/72 (/ cosTheta_i (pow v 4)))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

Outputs
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* -1 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(* -1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))
(.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal -1/2 binary32))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i)
(* cosTheta_i (+ (* -1/2 (- (/ (* sinTheta_O sinTheta_i) v) 1)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) #s(literal 1/2 binary32))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) #s(literal 1/2 binary32))
(/ (* cosTheta_i (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))
(.f32 cosTheta_i (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))
(* -1/6 cosTheta_i)
(*.f32 #s(literal -1/6 binary32) cosTheta_i)
(* -1 (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))
(* -1 (* cosTheta_i (+ (* -1/2 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)))))
(* -1 (/ (* cosTheta_i (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(.f32 cosTheta_O (/.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (/.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v v))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v v))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))) sinTheta_i (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i))
(* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (neg.f32 (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i (/.f32 (neg.f32 (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
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(* 1/2 (/ cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))
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(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
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(fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v) (/.f32 #s(literal 1/2 binary32) v))
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(* -1/6 (/ cosTheta_i (pow v 2)))
(.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))
(+ (* -1/6 (/ cosTheta_i (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_i 2))) (* 1/2 (* cosTheta_i (pow sinTheta_O 2)))))
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(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* sinTheta_i v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_i 2)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_i (.f32 v v)) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 cosTheta_i sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v))))) (.f32 sinTheta_i sinTheta_i))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) #s(literal 1/2 binary32))
(* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_i)) (* 1/2 (/ (* cosTheta_i sinTheta_O) v))) sinTheta_i)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v v))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v v))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))) sinTheta_O (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O (/.f32 (neg.f32 (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ cosTheta_i (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))) sinTheta_O (/.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O (/.f32 (neg.f32 (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))))))
(fma.f32 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/2 binary32)))
(+ (* -1/2 (/ cosTheta_i (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 4))) (* 1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/2 binary32)))
(- (* sinTheta_O (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))
(-.f32 (.f32 (fma.f32 (/.f32 sinTheta_i (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(- (* sinTheta_O (+ (* 1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))))))) (* 1/2 (/ 1 v)))
(-.f32 (.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 sinTheta_i (.f32 v v)) #s(literal 1/2 binary32))) sinTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) v)) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v))) sinTheta_O (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (.f32 v v))) #s(literal -1/2 binary32))) sinTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (.f32 v v))) #s(literal -1/2 binary32))) sinTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 sinTheta_i (.f32 v v)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (pow sinTheta_O 2))) (* 1/2 (* cosTheta_i (pow sinTheta_i 2)))))
(.f32 (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) #s(literal 1/2 binary32))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* sinTheta_O v))) (+ (* -1/12 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ cosTheta_i (pow sinTheta_O 2)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 cosTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v))))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_i sinTheta_i) v))) sinTheta_O)) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))
(.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)))) (.f32 v v))
(/ (+ (* 1/2 (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (* cosTheta_i v))))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (.f32 cosTheta_i v))) v (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) #s(literal 1/2 binary32))) (*.f32 v v))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (* 1/2 cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) (pow v 2))) (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 cosTheta_i)))) v)
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(/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v v))
(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (pow v 2))
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(/ (+ (* -1/2 cosTheta_i) (+ (* -1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
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(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)) v)
(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) v)
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(/ (- (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v)))) 1/2) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
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(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32)))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v))) cosTheta_i))) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
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(/ (- (+ (* -1 (/ (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i)) (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2)))) v)
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(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i))) (+ (* -1/1440 cosTheta_i) (* 1/10080 cosTheta_i))) (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (+ (* 1/240 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/720 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -7/720 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
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(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
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(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1 binary32)) v)
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(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) v)
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#s(literal 1 binary32)
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(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
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(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
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(+ 1 (/ 1 v))
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(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
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(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
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(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
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(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i))) (* 1/2 (/ (- (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))) (.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) v) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v))) (.f32 v v))
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (neg.f32 v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal -1/12 binary32))) (neg.f32 v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (neg.f32 v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i))) (+ (* -1/10080 cosTheta_i) (* 1/1440 cosTheta_i))) (pow v 6))) (* -1/2 cosTheta_i)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* -1/240 (/ cosTheta_i (pow v 4))) (* 1/72 (/ cosTheta_i (pow v 4)))))) v))
(/.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i #s(literal 7/720 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/720 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) v) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
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(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))

rewrite235.0ms (1.9%)

Memory

-0.8MiB live, 294.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	466
0	129	466
1	378	454
2	2309	444
0	8427	444

Stop Event

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

Counts

27 → 692

Calls

Call 1

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

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

eval111.0ms (0.9%)

Memory: 16.4MiB live, 290.2MiB allocated
Compiler: Compiled 45 333 to 4 637 computations (89.8% saved)

prune103.0ms (0.8%)

Memory

-41.7MiB live, 241.3MiB allocated

Pruning

77 alts after pruning (74 fresh and 3 done)

	Pruned	Kept	Total
New	787	43	830
Fresh	13	31	44
Picked	3	2	5
Done	0	1	1
Total	803	77	880

Accuracy

99.8%

Counts

880 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_O cosTheta_i)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) v)
	98.0%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) cosTheta_O) (.f32 v v))
	98.4%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O) (.f32 (+.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 (-.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))) v))
	98.5%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i) cosTheta_O) v)
	98.5%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	97.8%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
	56.6%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1/2 binary32)))) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
	58.9%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.8%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v))
	59.0%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
	58.9%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
	98.5%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (sinh (/ 1 v)) (.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	98.7%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	98.7%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (-.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O)
	98.7%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
▶	98.9%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.7%	(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.5%	(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.6%	(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O))
	98.7%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))
	98.5%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.6%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v)))
	98.8%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	58.9%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
	48.9%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))) cosTheta_O)
	58.9%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
	98.5%	(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) cosTheta_O)
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
	56.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.7%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	48.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
▶	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.8%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.5%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (neg.f32 v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))) v)))
	58.6%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
	50.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v))) (.f32 sinTheta_i sinTheta_i))) v)))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v))) (.f32 sinTheta_O sinTheta_O))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
	56.5%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))) cosTheta_i)) v)))
▶	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
✓	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
✓	58.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	49.3%	#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
	58.9%	#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))

Compiler

Compiled 6 946 to 4 960 computations (28.6% saved)

simplify109.0ms (0.9%)

Memory

37.8MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	1	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v)))
cost-diff	0	(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
cost-diff	0	(/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
cost-diff	0	#s(approx (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	0	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
cost-diff	0	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
cost-diff	1	(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))
cost-diff	1	(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))
cost-diff	2	(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
cost-diff	0	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
cost-diff	0	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)))
cost-diff	0	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v))
cost-diff	0	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	734
0	135	734
1	287	730
2	922	715
3	4686	715
0	8215	706

Stop Event

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

Calls

Call 1

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

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

localize297.0ms (2.4%)

Memory

-16.8MiB live, 304.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.189785009768442	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v)))
accuracy	0.2734375	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.36556625976844204	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v v))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.20703125	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
accuracy	0.2421875	(/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.28515625	(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.31087875976844204	(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))
accuracy	0.35546875	(*.f32 #s(literal 1/6 binary32) cosTheta_i)
accuracy	24.754456777858277	(fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))
accuracy	24.89527797555759	#s(approx (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.046875	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
accuracy	0.27049508046286386	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
accuracy	13.167092470027718	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
accuracy	0.19140625	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v))
accuracy	0.3515625	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v))
accuracy	0.36328125	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.8658492025753722	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

232.0ms

256×

valid

Compiler

Compiled 594 to 75 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 60.0ms (34.7% of total)

ival-pow: 39.0ms (22.6% of total)

ival-div: 32.0ms (18.5% of total)

const: 20.0ms (11.6% of total)

ival-exp: 9.0ms (5.2% of total)

ival-sinh: 4.0ms (2.3% of total)

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

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

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series727.0ms (5.8%)

Memory

15.1MiB live, 815.7MiB allocated

Counts

26 → 196

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
190.0ms	v	@	-inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_O cosTheta_i) 1/2) v) (* (* cosTheta_O cosTheta_i) 1/2) (* cosTheta_O cosTheta_i) (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i (* v (* (sinh (/ 1 v)) (* 2 v)))) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (sinh (/ -1 v)) (* (/ (* 1/2 sinTheta_O) v) (/ sinTheta_i v)) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (* 1/6 cosTheta_i) (sinh (/ 1 v)) (* (sinh (/ 1 v)) (* 2 v)))
139.0ms	sinTheta_O	@	-inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_O cosTheta_i) 1/2) v) (* (* cosTheta_O cosTheta_i) 1/2) (* cosTheta_O cosTheta_i) (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i (* v (* (sinh (/ 1 v)) (* 2 v)))) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (sinh (/ -1 v)) (* (/ (* 1/2 sinTheta_O) v) (/ sinTheta_i v)) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (* 1/6 cosTheta_i) (sinh (/ 1 v)) (* (sinh (/ 1 v)) (* 2 v)))
76.0ms	v	@	0	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_O cosTheta_i) 1/2) v) (* (* cosTheta_O cosTheta_i) 1/2) (* cosTheta_O cosTheta_i) (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i (* v (* (sinh (/ 1 v)) (* 2 v)))) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (sinh (/ -1 v)) (* (/ (* 1/2 sinTheta_O) v) (/ sinTheta_i v)) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (* 1/6 cosTheta_i) (sinh (/ 1 v)) (* (sinh (/ 1 v)) (* 2 v)))
75.0ms	sinTheta_O	@	inf	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_O cosTheta_i) 1/2) v) (* (* cosTheta_O cosTheta_i) 1/2) (* cosTheta_O cosTheta_i) (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i (* v (* (sinh (/ 1 v)) (* 2 v)))) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (sinh (/ -1 v)) (* (/ (* 1/2 sinTheta_O) v) (/ sinTheta_i v)) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (* 1/6 cosTheta_i) (sinh (/ 1 v)) (* (sinh (/ 1 v)) (* 2 v)))
56.0ms	sinTheta_O	@	0	((* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_O cosTheta_i) 1/2) v) (* (* cosTheta_O cosTheta_i) 1/2) (* cosTheta_O cosTheta_i) (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i (* v (* (sinh (/ 1 v)) (* 2 v)))) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (sinh (/ -1 v)) (* (/ (* 1/2 sinTheta_O) v) (/ sinTheta_i v)) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (* 1/6 cosTheta_i) (sinh (/ 1 v)) (* (sinh (/ 1 v)) (* 2 v)))

simplify453.0ms (3.6%)

Memory

-21.8MiB live, 372.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1024	6335
1	3863	6118
0	8033	5856

Stop Event

1×	iter limit
1×	node limit

Counts

196 → 196

Calls

Call 1

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

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

rewrite297.0ms (2.4%)

Memory

9.8MiB live, 212.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	550
0	135	550
1	401	525
2	2512	525
0	8906	525

Stop Event

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

Counts

26 → 535

Calls

Call 1

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

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

eval125.0ms (1%)

Memory: 20.5MiB live, 216.1MiB allocated
Compiler: Compiled 35 766 to 3 935 computations (89% saved)

prune117.0ms (0.9%)

Memory

-27.0MiB live, 250.2MiB allocated

Pruning

73 alts after pruning (68 fresh and 5 done)

	Pruned	Kept	Total
New	717	33	750
Fresh	34	35	69
Picked	3	2	5
Done	0	3	3
Total	754	73	827

Accuracy

99.8%

Counts

827 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_O cosTheta_i)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) cosTheta_O) (.f32 (+.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 (-.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))) v))
	98.5%	(/.f32 (.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i) cosTheta_O) v)
	98.5%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	58.9%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	59.0%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
	98.5%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 2 binary32) v)))
	98.7%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (sinh (/ 1 v)) (.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	98.7%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (-.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O)
	98.7%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.9%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	64.2%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
	98.8%	(.f32 (/.f32 (.f32 cosTheta_i #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_O)
	98.7%	(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.5%	(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O))
	98.7%	(.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) cosTheta_O)
	98.8%	(.f32 (.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v)) v) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_O)
	98.9%	(.f32 (.f32 (/.f32 cosTheta_i v) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.7%	(.f32 (.f32 cosTheta_O #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)))
	58.9%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
	58.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	58.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	58.9%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
	49.0%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))) cosTheta_O)
	58.9%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
	98.5%	(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
	58.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) v))) (neg.f32 v))) (neg.f32 v))))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))))) (neg.f32 v))))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
	52.3%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
	98.5%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)))
	97.8%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (+.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
	49.0%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v))))
	98.5%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
✓	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
	64.2%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
	64.2%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))))))
	98.4%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))
	58.9%	(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))))))
	52.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
✓	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
✓	58.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
✓	58.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	49.3%	#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
	58.9%	#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))

Compiler

Compiled 9 308 to 3 241 computations (65.2% saved)

regimes298.0ms (2.4%)

Memory

26.3MiB live, 535.6MiB allocated

Counts

148 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

40.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	cosTheta_O
38.0ms	cosTheta_i
38.0ms	sinTheta_O
38.0ms	v

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes168.0ms (1.3%)

Memory

-18.1MiB live, 298.7MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
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(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (neg.f32 v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)))
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) cosTheta_O)
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_O)
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 cosTheta_O #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) sinTheta_i) #s(literal 1/2 binary32)) v))) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes156.0ms (1.2%)

Memory

26.2MiB live, 299.0MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))) cosTheta_i)) v)))
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(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes157.0ms (1.3%)

Memory

4.4MiB live, 277.7MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1/2 binary32)))) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v))) (.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v))) (.f32 sinTheta_i sinTheta_i))) v)))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))) v)))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (neg.f32 v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)))
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) cosTheta_O)
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)

Outputs

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

Calls

8 calls:

24.0ms	cosTheta_i
19.0ms	cosTheta_O
19.0ms	sinTheta_i
19.0ms	sinTheta_O
18.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes152.0ms (1.2%)

Memory

11.3MiB live, 241.6MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))) v)))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (neg.f32 v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)))
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) cosTheta_O)
(.f32 #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
(.f32 (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

21.0ms	cosTheta_i
21.0ms	sinTheta_i
20.0ms	sinTheta_O
19.0ms	v
18.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes413.0ms (3.3%)

Memory

-124.2MiB live, 219.1MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
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(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

274.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
24.0ms	cosTheta_O
22.0ms	sinTheta_O
21.0ms	sinTheta_i
18.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes157.0ms (1.3%)

Memory

-2.8MiB live, 201.2MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_i (.f32 v v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (neg v)) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)))) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1/2 binary32)))) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v))) (.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v))) (.f32 sinTheta_i sinTheta_i))) v)))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)) v)) cosTheta_O)
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* -1/2 cosTheta_i) (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 #s(approx (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) (.f32 (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 cosTheta_i v) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i)))) v)))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))

Outputs

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

Calls

8 calls:

26.0ms	cosTheta_O
22.0ms	sinTheta_i
21.0ms	v
20.0ms	(*.f32 sinTheta_i sinTheta_O)
15.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes136.0ms (1.1%)

Memory

-31.5MiB live, 202.5MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 v v)))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 (sinh (/ 1 v)))) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (sinh (/ 1 v)) 2)) (* v v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) #s(approx (/ (/ cosTheta_i (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v)))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (/ cosTheta_i v)) (sinh (/ -1 v))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)) cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)))) (neg.f32 v))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i)) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O cosTheta_i))) v)) (*.f32 v v))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 cosTheta_i (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)))
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(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* -2 v)) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) v))) cosTheta_O)
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i #s(approx (/ (* -1/2 (+ (* (* cosTheta_i sinTheta_O) sinTheta_i) (/ (+ (* (* -1/2 cosTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* 1/6 cosTheta_i)) v))) (neg v)) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(approx (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) v))) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)))
(.f32 cosTheta_O #s(approx ( (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 #s(approx (+ (* (/ (+ (* (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i)) 1/2) (* -1/6 cosTheta_i)) (* v v)) 1/2) (* -1/2 (- (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))) v)))

Outputs

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

Calls

8 calls:

19.0ms	sinTheta_O
17.0ms	cosTheta_O
16.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
15.0ms	v
15.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
64.2%	1	`cosTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes53.0ms (0.4%)

Memory

39.6MiB live, 77.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

9.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
6.0ms	v
6.0ms	sinTheta_O
6.0ms	cosTheta_O
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`cosTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes41.0ms (0.3%)

Memory

-37.9MiB live, 43.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

11.0ms	v
4.0ms	cosTheta_O
4.0ms	sinTheta_i
4.0ms	cosTheta_i
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
59.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.0%	1	`sinTheta_i`
59.0%	1	`sinTheta_O`
59.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.0%	1	`cosTheta_i`
59.0%	1	`cosTheta_O`
59.0%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes26.0ms (0.2%)

Memory

39.3MiB live, 39.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
58.9%	1	`cosTheta_O`
58.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.9%	1	`sinTheta_O`
58.9%	1	`cosTheta_i`
58.9%	1	`sinTheta_i`
58.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes18.0ms (0.1%)

Memory

-4.4MiB live, 33.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	v
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
58.9%	1	`sinTheta_i`
58.9%	1	`cosTheta_O`
58.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.9%	1	`cosTheta_i`
58.9%	1	`sinTheta_O`
58.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes12.0ms (0.1%)

Memory

-15.0MiB live, 22.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	cosTheta_i
1.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms	sinTheta_i
1.0ms	(*.f32 cosTheta_i cosTheta_O)
1.0ms	v

Results

Accuracy	Segments	Branch
58.8%	1	`sinTheta_i`
58.8%	1	`cosTheta_O`
58.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.8%	1	`sinTheta_O`
58.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.8%	1	`cosTheta_i`
58.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify61.0ms (0.5%)

Memory

0.2MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	436
1	204	436
2	460	432
3	1823	427
4	7337	427

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.2s (9.7%)

Memory

47.9MiB live, 1 089.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	991	5588
1	3719	5401
0	8125	5180
0	53	277
0	85	277
1	234	277
0	1209	277
0	81	466
0	129	466
1	378	454
2	2309	444
0	8427	444
0	85	550
0	135	550
1	401	525
2	2512	525
0	8906	525
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280
0	1024	6335
1	3863	6118
0	8033	5856
0	748	4271
1	2830	4071
0	8102	3893

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

Compiler

Compiled 1 173 to 761 computations (35.1% saved)

preprocess266.0ms (2.1%)

Memory: 11.3MiB live, 445.9MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 1 392 to 652 computations (53.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze645.0ms (5.1%)

sample2.9s (22.7%)

explain200.0ms (1.6%)

preprocess165.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify130.0ms (1%)

localize41.0ms (0.3%)

series70.0ms (0.6%)

simplify206.0ms (1.6%)

rewrite261.0ms (2.1%)

eval115.0ms (0.9%)

prune38.0ms (0.3%)

simplify97.0ms (0.8%)

localize148.0ms (1.2%)

series261.0ms (2.1%)

simplify182.0ms (1.5%)

rewrite105.0ms (0.8%)

eval64.0ms (0.5%)

prune122.0ms (1%)

simplify157.0ms (1.3%)

localize280.0ms (2.2%)

series307.0ms (2.5%)

simplify189.0ms (1.5%)

rewrite235.0ms (1.9%)

eval111.0ms (0.9%)

prune103.0ms (0.8%)

simplify109.0ms (0.9%)

localize297.0ms (2.4%)

series727.0ms (5.8%)

simplify453.0ms (3.6%)

rewrite297.0ms (2.4%)

eval125.0ms (1%)

prune117.0ms (0.9%)

regimes298.0ms (2.4%)

regimes168.0ms (1.3%)

regimes156.0ms (1.2%)

regimes157.0ms (1.3%)

regimes152.0ms (1.2%)

regimes413.0ms (3.3%)

regimes157.0ms (1.3%)

regimes136.0ms (1.1%)

regimes53.0ms (0.4%)

regimes41.0ms (0.3%)

regimes26.0ms (0.2%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

simplify61.0ms (0.5%)

soundness1.2s (9.7%)

preprocess266.0ms (2.1%)

end0.0ms (0%)

Profiling