Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.3s (9.4%)

Memory

-229.1MiB live, 1 434.3MiB 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 (21%)

Memory

51.6MiB live, 4 580.1MiB allocated

Samples

2.2s

8 256×

valid

Precisions

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

ival-mult: 460.0ms (25.5% of total)

const: 356.0ms (19.7% of total)

ival-<=: 316.0ms (17.5% of total)

ival-div: 296.0ms (16.4% of total)

ival-sinh: 155.0ms (8.6% of total)

ival-exp: 89.0ms (4.9% of total)

ival-and: 53.0ms (2.9% of total)

ival-neg: 41.0ms (2.3% of total)

ival-<: 19.0ms (1.1% of total)

exact: 16.0ms (0.9% of total)

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

Bogosity

explain218.0ms (1.6%)

Memory

22.3MiB live, 301.4MiB 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))`
1	(-1.175953320679699e-20 1.929905063792451e-28 1.9144789445706308e-14 -2.988559498988909e-32 0.4533570408821106)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
4	(-1.8848413904981576e-22 9.344652026250195e-25 -1.8992381854594776e-16 -5.998753294989001e-6 0.18445448577404022)	-	`(/.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	93
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	90

Confusion

	Predicted +	Predicted -
+	0	0
-	5	251

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

68.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 17.0ms (39% of total)

ival-mult: 14.0ms (32.1% of total)

ival-sinh: 5.0ms (11.5% of total)

ival-exp: 4.0ms (9.2% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess151.0ms (1.1%)

Memory

5.6MiB live, 187.0MiB 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)

simplify125.0ms (0.9%)

Memory

27.9MiB live, 216.4MiB 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)

localize61.0ms (0.4%)

Memory

-27.0MiB live, 81.6MiB 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	0.23798754884221007	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.2617251097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

33.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.8% of total)

ival-div: 6.0ms (31.6% of total)

ival-exp: 2.0ms (10.5% of total)

ival-sinh: 2.0ms (10.5% of total)

ival-neg: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.4%)

Memory

19.3MiB live, 107.9MiB 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 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
(/ (* 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
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)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
6.0ms	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)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	sinTheta_O	@	inf	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (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)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_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)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	cosTheta_O	@	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)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify167.0ms (1.2%)

Memory

-7.4MiB live, 219.7MiB 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))

rewrite224.0ms (1.6%)

Memory

14.9MiB live, 206.3MiB 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 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 (/.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 (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 (.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(.f32 (.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 cosTheta_i) v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1 binary32)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) #s(literal 1 binary32)))
(neg.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))))
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(.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))))

eval128.0ms (0.9%)

Memory: 15.3MiB live, 112.7MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune69.0ms (0.5%)

Memory

-20.5MiB live, 70.2MiB allocated

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	601	33	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	602	33	635

Accuracy

99.6%

Counts

635 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.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))
	97.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 #s(literal 2 binary32) (.f32 v 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))))
▶	98.6%	(/.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))
	97.5%	(/.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))))))
	98.3%	(/.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 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	97.9%	(/.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))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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))
	98.5%	(/.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))
	98.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.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 (.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))
	98.5%	(.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) 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 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.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)))))
	98.8%	(.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))
	96.5%	(.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))))
	98.6%	(.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_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)))))
	98.4%	(.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)))))
	98.4%	(.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)))))
▶	98.8%	(.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)))))
	98.7%	(.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)))))
	54.5%	#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))
	54.5%	#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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.9%	#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))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) 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))))))
▶	59.9%	#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 2 004 to 1 552 computations (22.6% saved)

simplify111.0ms (0.8%)

Memory

-8.9MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	1	(.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)))
cost-diff	1	(/.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))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.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))
cost-diff	1	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
cost-diff	0	(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
cost-diff	0	(/.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))))
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 (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	3	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
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_O v)
cost-diff	0	(.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)))))
cost-diff	1	(.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))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	440
0	92	442
1	199	442
2	663	435
3	3366	422
0	8281	422

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (1.3%)

Memory

-0.9MiB live, 185.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(.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)))
accuracy	0.20835878907376806	(/.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))
accuracy	0.30859375	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19988251953688402	(/.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))
accuracy	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2965812988422101	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.20703125	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.30078125	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.803968067273046	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.8217354855996425	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.03515625	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.23798754884221007	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	12.849330460730515	#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	0.12890625	(.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)))))
accuracy	0.31478500976844204	(.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))))
accuracy	0.3828125	(/.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	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

128.0ms

256×

valid

Compiler

Compiled 416 to 54 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 50.0ms (52.7% of total)

ival-div: 24.0ms (25.3% of total)

ival-exp: 9.0ms (9.5% of total)

ival-pow: 5.0ms (5.3% of total)

ival-neg: 3.0ms (3.2% of total)

ival-sinh: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series289.0ms (2.1%)

Memory

32.6MiB live, 483.1MiB allocated

Counts

24 → 146

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(* -2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O v)
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (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 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (- (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))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 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))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (- (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))))))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ -1 v))
(exp (/ 1 v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (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))))))
(/ 2 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)))))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) 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 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(* -1 (* cosTheta_O cosTheta_i))
(+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+ (* -1 (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ (* -1 (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (- (* -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 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
v
(* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
(* v (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ (+ 1 (* 1/6 (/ 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 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))))))
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) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) 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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(+ (* -1 (* 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))) v))) v)))
(+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (- (+ (* -1 (/ (- (* -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 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)))
(* -1 (* v (- (/ (* sinTheta_O sinTheta_i) v) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) 1)))
(+ 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))
(+ 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)))

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	cosTheta_i	@	0	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O 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 (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (* -2 v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (* (* (sinh (/ 1 v)) 2) v))
46.0ms	sinTheta_O	@	inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O 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 (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (* -2 v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (* (* (sinh (/ 1 v)) 2) v))
26.0ms	sinTheta_i	@	inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O 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 (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (* -2 v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (* (* (sinh (/ 1 v)) 2) v))
24.0ms	sinTheta_O	@	-inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O 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 (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (* -2 v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (* (* (sinh (/ 1 v)) 2) v))
22.0ms	cosTheta_O	@	-inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O 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 (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (* -2 v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (* (* (sinh (/ 1 v)) 2) v))

simplify215.0ms (1.6%)

Memory

11.7MiB live, 262.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	819	4426
1	3069	4250
0	8282	4086

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 145

Calls

Call 1

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

Outputs
(/ (* 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_i cosTheta_O) (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_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_i cosTheta_O) (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 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(* -2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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 (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_O (*.f32 v v)))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_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 (neg.f32 (/.f32 (.f32 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 (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (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 sinTheta_O (-.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_O sinTheta_O) 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 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_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_i)) sinTheta_i (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O 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)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.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 (neg.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 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_O) (-.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_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) (.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))) sinTheta_i)) sinTheta_i (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.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)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (neg.f32 sinTheta_O) (*.f32 v v)) (-.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) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 sinTheta_O 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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 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 -1/6 binary32))) sinTheta_i (/.f32 (/.f32 (neg.f32 sinTheta_O) (.f32 v v)) (-.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) 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 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) 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 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v v)) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(fma.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 sinTheta_O) (*.f32 v v))) sinTheta_i (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) (.f32 v v))) sinTheta_i (/.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 (.f32 cosTheta_i cosTheta_O) v))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 #s(literal -2 binary32) (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_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_i))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))
(fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/3 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_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_i (.f32 (/.f32 (.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))) sinTheta_i))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (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)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) 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)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.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 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)))))) v)
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))))))
(-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) (.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))) (pow.f32 v #s(literal 3 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)))))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/.f32 (+.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))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (+.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)))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
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(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 cosTheta_i cosTheta_O)) 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 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) 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 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) 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_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
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(* -1 (* cosTheta_O cosTheta_i))
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))
(+ (* -1 (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(fma.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))
(+ (* -1 (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (- (* -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 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(fma.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (neg.f32 (*.f32 v v)))))
v
(* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)
(* v (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
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(* 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)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
(.f32 (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (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)))) (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 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)))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
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(/ (+ 1 (* 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)
(- 1 (/ 1 v))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
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(+ 1 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
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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 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 sinTheta_i sinTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (-.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 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)))) (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_i cosTheta_O) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_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 (*.f32 #s(literal 1/6 binary32) 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 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.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 (*.f32 #s(literal 1/6 binary32) 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.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)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.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))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal -7/720 binary32) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/720 binary32)) #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 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 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_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_i cosTheta_O (/.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_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.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) (.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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(/.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(/.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_O) sinTheta_i)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (neg.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))) v))) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))
(+ (* -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))) v))) v)))
(neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.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 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) v)))
(+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (- (+ (* -1 (/ (- (* -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 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)))
(neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (-.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 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (neg.f32 v))) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) v))) v)))
(* -1 (* v (- (/ (* sinTheta_O sinTheta_i) v) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (neg.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) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (+.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1 binary32)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.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 (/ (- (* -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 (* -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))

rewrite239.0ms (1.7%)

Memory

17.7MiB live, 201.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	309
0	92	308
1	260	299
2	1445	275
0	8719	275

Stop Event

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

Counts

24 → 2 159

Calls

Call 1

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

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

eval332.0ms (2.4%)

Memory: 30.5MiB live, 244.7MiB allocated
Compiler: Compiled 53 621 to 5 104 computations (90.5% saved)

prune247.0ms (1.8%)

Memory

-40.0MiB live, 165.7MiB allocated

Pruning

53 alts after pruning (51 fresh and 2 done)

	Pruned	Kept	Total
New	1 515	47	1 562
Fresh	24	4	28
Picked	3	2	5
Done	0	0	0
Total	1 542	53	1 595

Accuracy

99.7%

Counts

1 595 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (*.f32 #s(literal -2 binary32) v))
	97.4%	(/.f32 (.f32 (/.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))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))
	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	54.5%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
	59.9%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) v))
	51.1%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.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 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) v)))) (.f32 #s(literal -2 binary32) v))
	97.7%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (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)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v))
	98.8%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v))
	98.7%	(.f32 cosTheta_i (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) 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)) (/.f32 (-.f32 (.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)))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
▶	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	58.0%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	50.9%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	50.9%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) (neg.f32 v))) (neg.f32 v))))
	59.8%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)))
▶	98.7%	(.f32 cosTheta_O (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i))
	54.5%	#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))
	54.4%	#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)))
	97.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) 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_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal -2 binary32) 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 cosTheta_i (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (neg.f32 v) 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 (neg.f32 cosTheta_O) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) cosTheta_O) (*.f32 v v)))
	98.1%	#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 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i v)) v))
	98.1%	#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 (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%	#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 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (-.f32 (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (/.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))) (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 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.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)) (neg.f32 v)))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	59.8%	#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	61.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
✓	59.9%	#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)))
▶	59.9%	#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_i v) cosTheta_O)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v)))

Compiler

Compiled 3 994 to 2 975 computations (25.5% saved)

simplify140.0ms (1%)

Memory

5.1MiB live, 93.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	643
0	123	643
1	256	643
2	851	641
3	4634	641
0	8348	636

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (1.8%)

Memory

18.9MiB live, 204.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)
accuracy	0.25	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i)
accuracy	0.430351269536884	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.19988251953688402	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.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	0.2965812988422101	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.31478500976844204	(.f32 (/.f32 cosTheta_O 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))))
accuracy	0.38671875	(/.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))
accuracy	25.916836432529127	#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)))
accuracy	27.038577040096072	(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))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.03515625	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
accuracy	0.11328125	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	12.849330460730515	#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_i v) cosTheta_O)))
accuracy	0.2617251097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.31478500976844204	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.3828125	(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

199.0ms

256×

valid

Compiler

Compiled 515 to 66 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-div: 60.0ms (43.1% of total)

ival-mult: 29.0ms (20.8% of total)

ival-add: 18.0ms (12.9% of total)

ival-pow: 10.0ms (7.2% of total)

ival-exp: 7.0ms (5% of total)

const: 4.0ms (2.9% of total)

ival-sinh: 4.0ms (2.9% of total)

ival-sub: 3.0ms (2.2% of total)

ival-neg: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series461.0ms (3.4%)

Memory

10.8MiB live, 485.2MiB allocated

Counts

27 → 184

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
74.0ms	sinTheta_i	@	inf	((* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O 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_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* cosTheta_O (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i)) (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ -1 v)) (* (sinh (/ -1 v)) v))
53.0ms	sinTheta_O	@	0	((* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O 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_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* cosTheta_O (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i)) (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ -1 v)) (* (sinh (/ -1 v)) v))
52.0ms	cosTheta_i	@	0	((* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O 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_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* cosTheta_O (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i)) (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ -1 v)) (* (sinh (/ -1 v)) v))
43.0ms	cosTheta_i	@	-inf	((* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O 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_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* cosTheta_O (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i)) (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ -1 v)) (* (sinh (/ -1 v)) v))
41.0ms	cosTheta_O	@	-inf	((* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O 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_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* cosTheta_O (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i)) (* (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ -1 v)) (* (sinh (/ -1 v)) v))

simplify206.0ms (1.5%)

Memory

-16.7MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	5682
1	3667	5476
0	8278	5266

Stop Event

1×	iter limit
1×	node limit

Counts

184 → 184

Calls

Call 1

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

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

rewrite182.0ms (1.3%)

Memory

-5.3MiB live, 292.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	474
0	123	474
1	378	452
2	2252	452
0	8551	452

Stop Event

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

Counts

27 → 498

Calls

Call 1

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

Outputs
(.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i)
(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v)) cosTheta_i)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) cosTheta_i)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))) (neg.f32 (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (.f32 (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) v)
(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal -2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_O v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))
(.f32 cosTheta_O (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O v))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O))) (neg.f32 (neg.f32 v)))
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(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (neg.f32 v)) (.f32 (*.f32 (neg.f32 v) v) (/.f32 #s(literal 1/6 binary32) (neg.f32 v)))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v) (.f32 (.f32 (neg.f32 v) v) (/.f32 #s(literal 1/6 binary32) v))) (.f32 (*.f32 (neg.f32 v) v) v))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (.f32 (neg.f32 v) v)) (.f32 (.f32 (neg.f32 v) v) #s(literal -1/6 binary32))) (pow.f32 v #s(literal 4 binary32)))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (.f32 v v)) (.f32 (.f32 (neg.f32 v) v) #s(literal 1/6 binary32))) (.f32 (.f32 (neg.f32 v) v) (*.f32 v v)))
(/.f32 (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (neg.f32 v)) (.f32 (*.f32 v v) (/.f32 #s(literal 1/6 binary32) (neg.f32 v)))) (pow.f32 (neg.f32 v) #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) v) (.f32 (*.f32 v v) (/.f32 #s(literal 1/6 binary32) v))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (neg.f32 v) v)) (.f32 (.f32 v v) #s(literal -1/6 binary32))) (.f32 (.f32 v v) (*.f32 (neg.f32 v) v)))
(/.f32 (-.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/6 binary32) (neg.f32 v))) (neg.f32 v))
(/.f32 (-.f32 (neg.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) #s(literal -1/6 binary32)) (*.f32 (neg.f32 v) v))
(/.f32 (/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (neg.f32 v)) (neg.f32 v))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 6 binary32))) (/.f32 #s(literal 1/216 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32)) #s(literal 1/36 binary32))) (neg.f32 (.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 6 binary32)) #s(literal 1/8 binary32)) #s(literal 1/216 binary32))) (neg.f32 (.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 v v))))
(/.f32 (neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)))) (*.f32 v v))
(/.f32 (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 v v)) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (pow.f32 v #s(literal 4 binary32)))
(/.f32 (/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) v) v)
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32)) #s(literal 1/36 binary32)) (.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 6 binary32)) #s(literal 1/8 binary32)) #s(literal 1/216 binary32)) (.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 v v)))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))
(-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 v) 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 (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 (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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 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 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(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 (neg.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 (-.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 (*.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 (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 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)
(*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v)) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v) #s(literal 2 binary32))
(/.f32 (.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))

eval162.0ms (1.2%)

Memory: -4.5MiB live, 186.7MiB allocated
Compiler: Compiled 32 663 to 3 833 computations (88.3% saved)

prune89.0ms (0.7%)

Memory

28.9MiB live, 177.6MiB allocated

Pruning

66 alts after pruning (63 fresh and 3 done)

	Pruned	Kept	Total
New	695	33	728
Fresh	16	30	46
Picked	3	2	5
Done	1	1	2
Total	715	66	781

Accuracy

99.7%

Counts

781 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
	98.6%	(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 #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)) (neg.f32 v))) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	59.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	54.5%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
	59.9%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) v))
	51.1%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.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 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) v)))) (.f32 #s(literal -2 binary32) v))
	97.7%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (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)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v))
	98.6%	(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O cosTheta_i))
	98.7%	(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
▶	98.1%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal 2 binary32) v)))
	98.2%	(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
▶	98.8%	(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) 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)) (/.f32 (-.f32 (.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)))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	65.0%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 (fabs.f32 (/.f32 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)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 sinTheta_O v)) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
▶	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (neg.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) #s(literal 1/6 binary32)) v))) (neg.f32 v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1/2 binary32)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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))) #s(literal 1/2 binary32))))))
	58.0%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v)))))))
	54.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))))))
	50.9%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) v))))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	98.6%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
	59.8%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
	50.9%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
	59.8%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)))
	98.7%	(.f32 cosTheta_O (.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i))
	59.8%	(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)) cosTheta_i))
	59.8%	(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
	59.8%	(.f32 cosTheta_O #s(approx ( (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/.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)))
	98.5%	(.f32 cosTheta_O #s(approx ( (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_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))))))
	54.5%	#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_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal -2 binary32) 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 (neg.f32 cosTheta_O) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) cosTheta_O) (*.f32 v v)))
	98.1%	#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 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i v)) v))
	98.1%	#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 (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%	#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 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (-.f32 (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (/.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))) (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 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.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)) (neg.f32 v)))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	59.8%	#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
▶	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
▶	61.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
✓	59.9%	#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)))
✓	59.9%	#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_i v) cosTheta_O)))

Compiler

Compiled 5 202 to 3 844 computations (26.1% saved)

simplify194.0ms (1.4%)

Memory

-24.0MiB live, 207.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	708
0	121	708
1	265	708
2	895	706
3	5087	706
0	8544	687

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (1.5%)

Memory

31.1MiB live, 309.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2890625	(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal 2 binary32) v))
accuracy	0.42981828338881073	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.185878759768442	(/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v)))
accuracy	0.20703125	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal -2 binary32) v))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	12.209812178375664	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
accuracy	0.31478500976844204	(.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32))))
accuracy	0.37890625	(/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (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))
accuracy	25.916836432529127	#s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32)))
accuracy	27.038577040096072	(fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32))
accuracy	0.0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.05078125	(.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))
accuracy	0.23798754884221007	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
accuracy	12.849330460730515	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
accuracy	0.2617251097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2734375	(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal 2 binary32) v)) cosTheta_O)
accuracy	0.36556625976844204	(/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8555467419479686	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

164.0ms

256×

valid

Compiler

Compiled 471 to 69 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 64.0ms (45.7% of total)

ival-div: 50.0ms (35.7% of total)

ival-pow: 5.0ms (3.6% of total)

ival-exp: 4.0ms (2.9% of total)

const: 4.0ms (2.9% of total)

ival-add: 3.0ms (2.1% of total)

ival-sub: 3.0ms (2.1% of total)

ival-neg: 3.0ms (2.1% of total)

ival-sinh: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series263.0ms (1.9%)

Memory

-59.6MiB live, 456.1MiB allocated

Counts

26 → 157

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
78.0ms	cosTheta_i	@	0	((* (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (neg cosTheta_O) cosTheta_i) (* (sinh (/ 1 v)) (* -2 v))) (* (neg cosTheta_O) cosTheta_i) (neg cosTheta_O) (* (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (* (sinh (/ 1 v)) (* -2 v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)))
20.0ms	cosTheta_O	@	0	((* (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (neg cosTheta_O) cosTheta_i) (* (sinh (/ 1 v)) (* -2 v))) (* (neg cosTheta_O) cosTheta_i) (neg cosTheta_O) (* (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (* (sinh (/ 1 v)) (* -2 v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)))
19.0ms	cosTheta_i	@	inf	((* (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (neg cosTheta_O) cosTheta_i) (* (sinh (/ 1 v)) (* -2 v))) (* (neg cosTheta_O) cosTheta_i) (neg cosTheta_O) (* (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (* (sinh (/ 1 v)) (* -2 v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)))
18.0ms	cosTheta_O	@	inf	((* (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (neg cosTheta_O) cosTheta_i) (* (sinh (/ 1 v)) (* -2 v))) (* (neg cosTheta_O) cosTheta_i) (neg cosTheta_O) (* (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (* (sinh (/ 1 v)) (* -2 v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)))
17.0ms	cosTheta_O	@	-inf	((* (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (neg cosTheta_O) cosTheta_i) (* (sinh (/ 1 v)) (* -2 v))) (* (neg cosTheta_O) cosTheta_i) (neg cosTheta_O) (* (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (* (sinh (/ 1 v)) (* -2 v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)))

simplify394.0ms (2.9%)

Memory

56.2MiB live, 358.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	849	4487
1	3181	4329
0	8267	4128

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 157

Calls

Call 1

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

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

rewrite219.0ms (1.6%)

Memory

28.7MiB live, 299.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	521
0	121	521
1	403	497
2	2570	497
0	8976	491

Stop Event

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

Counts

26 → 379

Calls

Call 1

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

Outputs
(.f32 (/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i v) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_i (/.f32 (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.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 (.f32 cosTheta_O #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (.f32 cosTheta_O #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 #s(literal -2 binary32) v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (neg.f32 cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
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(/.f32 (fma.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) (.f32 (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) (.f32 v v)) (.f32 (.f32 v v) (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 6 binary32)) #s(literal -1/8 binary32) #s(literal 1/216 binary32)))) (.f32 (.f32 v v) (.f32 (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) (*.f32 v v))))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (neg.f32 v)) (neg.f32 v))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)))
(/.f32 (+.f32 (/.f32 (pow.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) #s(literal 3 binary32)) (pow.f32 v #s(literal 6 binary32))) (/.f32 (pow.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (pow.f32 (.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v))))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))))) (*.f32 v v))
(/.f32 (fma.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) (.f32 v v) (.f32 (.f32 v v) (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)))) (pow.f32 v #s(literal 4 binary32)))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v) v)
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) #s(literal 2 binary32)) (pow.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)))
(/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) #s(literal 3 binary32))) (.f32 (fma.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 (.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) #s(literal 2 binary32))) (*.f32 v v)))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (*.f32 v v))
(fma.f32 (/.f32 (.f32 sinTheta_i v) (neg.f32 v)) (/.f32 sinTheta_O (neg.f32 v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 (/.f32 sinTheta_O (neg.f32 v)) (/.f32 (.f32 sinTheta_i v) (neg.f32 v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 (/.f32 sinTheta_O v) (/.f32 (.f32 sinTheta_i v) v) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 sinTheta_O v) v) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 (.f32 sinTheta_i v) (/.f32 sinTheta_O (.f32 v v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)))
(fma.f32 (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (.f32 sinTheta_O v) (neg.f32 v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (*.f32 v v)))
(fma.f32 sinTheta_i (/.f32 (.f32 sinTheta_O v) (.f32 v v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)))
(fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i v) (.f32 v v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)))
(+.f32 (/.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32))) (.f32 v v)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+.f32 (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)) (.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)))
(+.f32 (.f32 (/.f32 (.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) (/.f32 (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (.f32 v v)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O v) sinTheta_i (fma.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)))) (*.f32 v v)))
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(.f32 (.f32 #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)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -2 binary32))
(.f32 (neg.f32 v) (.f32 (sinh.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)) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #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 (.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))
(neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) v) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) #s(literal 2 binary32)) v)
(/.f32 (neg.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 v v) #s(literal 2 binary32))))
(/.f32 (neg.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32))) (.f32 (neg.f32 v) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (neg.f32 v)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (neg.f32 (*.f32 #s(literal -2 binary32) v)))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal 2 binary32) v))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (.f32 v v) #s(literal 2 binary32)))
(neg.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal -2 binary32) v)))

eval654.0ms (4.8%)

Memory: -150.0MiB live, 200.9MiB allocated
Compiler: Compiled 30 899 to 3 138 computations (89.8% saved)

prune97.0ms (0.7%)

Memory

-24.9MiB live, 268.1MiB allocated

Pruning

64 alts after pruning (64 fresh and 0 done)

	Pruned	Kept	Total
New	526	29	555
Fresh	23	35	58
Picked	5	0	5
Done	3	0	3
Total	557	64	621

Accuracy

99.7%

Counts

621 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.5%	(/.f32 (/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
	98.7%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) v) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v v) #s(literal 2 binary32))))
	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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	54.5%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
	98.5%	(.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v))
	98.0%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) #s(literal 2 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O cosTheta_i))
	97.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
	65.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 #s(literal 2 binary32) v)))
	98.2%	(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	65.0%	(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))))
	98.7%	(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(approx (sinh (/ 1 v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)))))
	98.7%	(.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.0%	(.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (*.f32 #s(literal 2 binary32) v)))
	98.7%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) 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)) (/.f32 (-.f32 (.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)))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	65.0%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (neg.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) #s(literal 1/6 binary32)) v))) (neg.f32 v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 sinTheta_O v)) sinTheta_i #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_O v) sinTheta_i)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (.f32 sinTheta_i v) sinTheta_O)) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (neg.f32 v) (neg.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) #s(literal 1/6 binary32)) v))))) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1/2 binary32)))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) #s(approx (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))) #s(literal 1/2 binary32)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))))))
	58.0%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v)))))))
	54.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i))))))
	50.9%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) v))))))
	98.6%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
	98.7%	(.f32 cosTheta_O (.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i))
	59.8%	(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
	98.5%	(.f32 cosTheta_O #s(approx ( (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_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))))))
	54.5%	#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_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal -2 binary32) v)))
	61.8%	#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) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) 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 (neg.f32 cosTheta_O) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) cosTheta_O) (*.f32 v v)))
	98.1%	#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 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i v)) v))
	98.1%	#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 (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%	#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 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) 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 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.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)) (neg.f32 v)))))
	65.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	63.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.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))))
	63.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) v))))
	63.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -2 binary32)))))
	63.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 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)))))
	63.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) #s(literal -2 binary32))))
	61.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
	59.9%	#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) v) (.f32 cosTheta_O cosTheta_i)))

Compiler

Compiled 8 282 to 2 806 computations (66.1% saved)

regimes309.0ms (2.2%)

Memory

25.0MiB live, 528.0MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

53.0ms	sinTheta_i
39.0ms	sinTheta_O
37.0ms	(/.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))
37.0ms	cosTheta_O
36.0ms	v

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes230.0ms (1.7%)

Memory

9.6MiB live, 346.6MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

55.0ms	v
36.0ms	cosTheta_i
26.0ms	cosTheta_O
25.0ms	sinTheta_O
23.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes219.0ms (1.6%)

Memory

8.5MiB live, 337.5MiB 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) #s(literal -2 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_i v) 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 cosTheta_i) v)))
#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) v) (.f32 cosTheta_O cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 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 (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)))
#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 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (.f32 sinTheta_i v) sinTheta_O)) (*.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 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)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 sinTheta_O v)) sinTheta_i #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 #s(literal 2 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_O v) sinTheta_i)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (neg.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) #s(literal 1/6 binary32)) v))) (neg.f32 v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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))) #s(literal 1/2 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.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)) (neg.f32 v)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 (fabs.f32 (/.f32 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_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (neg.f32 v) (neg.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) #s(literal 1/6 binary32)) v))))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i))))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/.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)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 #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)) (neg.f32 v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) #s(approx (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 sinTheta_O v)) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.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 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) 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 (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 (/ (* (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v v) #s(literal 2 binary32))))
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) cosTheta_O) (*.f32 v v)))
(.f32 cosTheta_O (.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)) (/.f32 #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 (neg.f32 cosTheta_O) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O cosTheta_i))
(/.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 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #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 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))
#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 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i 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_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) cosTheta_O) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

54.0ms	sinTheta_O
34.0ms	sinTheta_i
25.0ms	(*.f32 sinTheta_i sinTheta_O)
22.0ms	cosTheta_i
22.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes259.0ms (1.9%)

Memory

-25.1MiB live, 336.6MiB 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) #s(literal -2 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_i v) 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 cosTheta_i) v)))
#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) v) (.f32 cosTheta_O cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 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 (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)))
#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 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
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(.f32 cosTheta_O (.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 2 v)) (/.f32 #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 (neg.f32 cosTheta_O) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O cosTheta_i))
(/.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 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #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 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))))

Outputs

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

Calls

8 calls:

75.0ms	(*.f32 cosTheta_i cosTheta_O)
41.0ms	sinTheta_O
37.0ms	cosTheta_i
23.0ms	v
23.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes171.0ms (1.2%)

Memory

11.3MiB live, 436.9MiB allocated

Counts

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

Calls

8 calls:

40.0ms	cosTheta_O
32.0ms	sinTheta_i
17.0ms	(*.f32 sinTheta_i sinTheta_O)
17.0ms	cosTheta_i
16.0ms	v

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes175.0ms (1.3%)

Memory

-2.1MiB live, 339.0MiB 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) #s(literal -2 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_i v) 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 cosTheta_i) v)))
#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) v) (.f32 cosTheta_O cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 v)) (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 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 (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 #s(approx (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)))
#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 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (.f32 sinTheta_i v) sinTheta_O)) (*.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx ( (sinh (/ 1 v)) (* -2 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)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 sinTheta_O v)) sinTheta_i #s(literal 1/6 binary32))) (.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 #s(literal 2 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (fma.f32 (.f32 sinTheta_i v) sinTheta_O (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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_O v) sinTheta_i)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 (neg.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) #s(literal 1/6 binary32)) v))) (neg.f32 v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (fma.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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))) #s(literal 1/2 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
#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) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.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)) (neg.f32 v)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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 (fabs.f32 (/.f32 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_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (/.f32 #s(approx (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (.f32 (neg.f32 v) (neg.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) #s(literal 1/6 binary32)) v))))) (*.f32 v v))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(approx (+ (* -1/2 (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i))))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) (neg.f32 v))) (neg.f32 v))))
(.f32 cosTheta_O #s(approx ( (/ (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (* -2 v)) (* (sinh (/ -1 v)) v)) cosTheta_i) (/.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)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v)) (.f32 (.f32 #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)) (neg.f32 v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)) #s(literal 1/2 binary32))) v)))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O 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_O) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) #s(approx (/ (+ (* (* sinTheta_i v) sinTheta_O) (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6)) (* v v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) #s(approx (- (/ (* sinTheta_i sinTheta_O) v) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v))) (fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 sinTheta_O v)) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) #s(literal 1/2 binary32)))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (* (neg cosTheta_i) (/ cosTheta_O v))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.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 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) 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 (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 (/ (* (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v v) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

48.0ms	v
28.0ms	sinTheta_O
19.0ms	(*.f32 sinTheta_i sinTheta_O)
18.0ms	sinTheta_i
16.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes172.0ms (1.2%)

Memory

-23.0MiB live, 355.1MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

35.0ms	(*.f32 cosTheta_i cosTheta_O)
32.0ms	sinTheta_O
24.0ms	v
17.0ms	cosTheta_O
16.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
65.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.0%	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))`
65.0%	1	`cosTheta_i`
65.0%	1	`cosTheta_O`
65.0%	1	`sinTheta_i`
65.0%	1	`sinTheta_O`
65.0%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes111.0ms (0.8%)

Memory

7.3MiB live, 193.9MiB allocated

Counts

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

Outputs

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

24.0ms	v
15.0ms	sinTheta_i
15.0ms	cosTheta_O
13.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	1	`cosTheta_i`
65.0%	1	`cosTheta_O`
65.0%	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))`
65.0%	1	`sinTheta_i`
65.0%	1	`sinTheta_O`
65.0%	1	`v`
65.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes48.0ms (0.3%)

Memory

22.9MiB live, 112.2MiB allocated

Accuracy

Total -3.8b remaining (-32.3%)

Threshold costs -3.8b (-32.3%)

Counts

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

Outputs

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

Calls

8 calls:

9.0ms	cosTheta_i
8.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	sinTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	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))`
63.6%	1	`cosTheta_i`
63.6%	1	`cosTheta_O`
63.6%	1	`sinTheta_i`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.6%	1	`v`
63.6%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify60.0ms (0.4%)

Memory

21.6MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	290
1	166	290
2	354	287
3	1272	287
4	6217	287

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.2s (8.5%)

Memory

4.9MiB live, 1 229.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	309
0	92	308
1	260	299
2	1445	275
0	8719	275
0	987	5682
1	3667	5476
0	8278	5266
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	819	4426
1	3069	4250
0	8282	4086
0	849	4487
1	3181	4329
0	8267	4128
0	78	474
0	123	474
1	378	452
2	2252	452
0	8551	452

Stop Event

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

Compiler

Compiled 909 to 524 computations (42.4% saved)

preprocess300.0ms (2.2%)

Memory: -2.5MiB live, 545.8MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 1 464 to 886 computations (39.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.3s (9.4%)

sample2.9s (21%)

explain218.0ms (1.6%)

preprocess151.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (0.9%)

localize61.0ms (0.4%)

series60.0ms (0.4%)

simplify167.0ms (1.2%)

rewrite224.0ms (1.6%)

eval128.0ms (0.9%)

prune69.0ms (0.5%)

simplify111.0ms (0.8%)

localize177.0ms (1.3%)

series289.0ms (2.1%)

simplify215.0ms (1.6%)

rewrite239.0ms (1.7%)

eval332.0ms (2.4%)

prune247.0ms (1.8%)

simplify140.0ms (1%)

localize249.0ms (1.8%)

series461.0ms (3.4%)

simplify206.0ms (1.5%)

rewrite182.0ms (1.3%)

eval162.0ms (1.2%)

prune89.0ms (0.7%)

simplify194.0ms (1.4%)

localize207.0ms (1.5%)

series263.0ms (1.9%)

simplify394.0ms (2.9%)

rewrite219.0ms (1.6%)

eval654.0ms (4.8%)

prune97.0ms (0.7%)

regimes309.0ms (2.2%)

regimes230.0ms (1.7%)

regimes219.0ms (1.6%)

regimes259.0ms (1.9%)

regimes171.0ms (1.2%)

regimes175.0ms (1.3%)

regimes172.0ms (1.2%)

regimes111.0ms (0.8%)

regimes48.0ms (0.3%)

simplify60.0ms (0.4%)

soundness1.2s (8.5%)

preprocess300.0ms (2.2%)

end0.0ms (0%)

Profiling