Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze702.0ms (7.3%)

Memory

-23.5MiB live, 658.4MiB allocated; 167ms collecting garbage

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)

sample2.8s (29.5%)

Memory

-12.3MiB live, 2 332.7MiB allocated; 1.5s collecting garbage

Samples

2.1s

8 256×

valid

Precisions

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

ival-<=: 685.0ms (37.9% of total)

const: 333.0ms (18.4% of total)

ival-mult: 260.0ms (14.4% of total)

ival-div: 250.0ms (13.8% of total)

ival-sinh: 87.0ms (4.8% of total)

ival-exp: 66.0ms (3.7% of total)

ival-and: 52.0ms (2.9% of total)

ival-neg: 35.0ms (1.9% of total)

ival-<: 18.0ms (1% of total)

exact: 15.0ms (0.8% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain163.0ms (1.7%)

Memory

4.2MiB live, 243.5MiB allocated; 14ms collecting garbage

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	(2.4074158743151507e-36 -2.870524530454103e-21 4.457374574405752e-27 -7.364077508360191e-20 0.1034744530916214)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	(-5.335019314773354e-32 -3.6367156302456044e-15 2.793738931000434e-29 4.679645559946266e-10 0.17513425648212433)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	78
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	1	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	79

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

63.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 16.0ms (37.4% of total)

ival-div: 15.0ms (35% of total)

ival-sinh: 5.0ms (11.7% of total)

ival-exp: 4.0ms (9.3% of total)

ival-neg: 2.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess167.0ms (1.7%)

Memory

-2.1MiB live, 183.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	575	449
2	2251	420
0	19	22
0	31	22
1	71	22
2	229	21
3	1195	21
4	7705	21
0	8003	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 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

simplify142.0ms (1.5%)

Memory

9.5MiB live, 151.5MiB allocated; 12ms collecting garbage

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	229	90
3	1195	90
4	7705	90
0	8003	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 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) 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)

localize53.0ms (0.5%)

Memory

-4.5MiB live, 40.8MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2073313109259798	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.21484375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.26887384023130584	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

43.0ms

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% of total)

ival-div: 6.0ms (30.9% of total)

ival-exp: 2.0ms (10.3% of total)

ival-sinh: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (1%)

Memory

2.0MiB live, 47.3MiB allocated; 5ms collecting garbage

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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) 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
45.0ms	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) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) 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) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
6.0ms	sinTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
4.0ms	v	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
3.0ms	sinTheta_i	@	-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) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))

simplify251.0ms (2.6%)

Memory

-18.8MiB live, 117.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1482
1	1210	1416
2	5399	1331
0	8591	1278

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 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 cosTheta_O v) (.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)) 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 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (/.f32 cosTheta_O v) (.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)) 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 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.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))) 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 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.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))) 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 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.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))) 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))

rewrite45.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
0	379	70

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 88

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

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

eval51.0ms (0.5%)

Memory: -25.8MiB live, 18.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 439 to 707 computations (84.1% saved)

prune11.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	118	15	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	15	134

Accuracy

99.4%

Counts

134 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
	98.2%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
▶	98.6%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O 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) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 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))
	98.5%	(/.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))
▶	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	54.6%	#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)))))
	56.2%	#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))
	98.5%	#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))))))
▶	56.2%	#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 1 044 to 788 computations (24.5% saved)

simplify180.0ms (1.9%)

Memory

-14.3MiB live, 83.4MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (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) v)
cost-diff	1	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	0	#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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)))
cost-diff	0	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	2	(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))
cost-diff	2	(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))
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	1	(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))
cost-diff	4	(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)))
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	(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cost-diff	0	(.f32 (.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
cost-diff	0	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	1	(.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	855
0	128	855
1	301	855
2	1044	809
3	5921	809
0	8281	792

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (2.2%)

Memory

30.1MiB live, 214.8MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2073313109259798	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.21484375	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2890625	(/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19921875	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.21484375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2646999633056345	(/.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))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.25390625	(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)))
accuracy	0.25420631092597984	(/.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)
accuracy	0.264002383739256	(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))
accuracy	14.560028704551996	#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))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.05859375	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2073313109259798	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	14.017131566013664	#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	0.15625	(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
accuracy	0.19921875	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.21484375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

148.0ms

256×

valid

Compiler

Compiled 764 to 73 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 73.0ms (60% of total)

ival-div: 30.0ms (24.7% of total)

ival-add: 5.0ms (4.1% of total)

ival-exp: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

ival-neg: 3.0ms (2.5% of total)

ival-sinh: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series184.0ms (1.9%)

Memory

-4.8MiB live, 271.6MiB allocated; 32ms collecting garbage

Counts

24 → 186

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	cosTheta_O	@	-inf	((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (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) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* (* 2 v) (sinh (/ 1 v))))
24.0ms	cosTheta_i	@	0	((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (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) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* (* 2 v) (sinh (/ 1 v))))
16.0ms	cosTheta_i	@	-inf	((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (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) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* (* 2 v) (sinh (/ 1 v))))
13.0ms	cosTheta_O	@	0	((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (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) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* (* 2 v) (sinh (/ 1 v))))
11.0ms	sinTheta_O	@	inf	((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (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) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* (* 2 v) (sinh (/ 1 v))))

simplify240.0ms (2.5%)

Memory

-40.8MiB live, 234.1MiB allocated; 147ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	907	5410
1	3505	5358
0	8259	5086

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 185

Calls

Call 1

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

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

rewrite102.0ms (1.1%)

Memory

5.0MiB live, 143.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	519
0	128	519
1	405	519
0	2509	519

Stop Event

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

Counts

24 → 480

Calls

Call 1

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

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

eval82.0ms (0.8%)

Memory: 13.1MiB live, 152.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 38 045 to 3 436 computations (91% saved)

prune67.0ms (0.7%)

Memory

-9.4MiB live, 136.3MiB allocated; 9ms collecting garbage

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	642	37	679
Fresh	3	7	10
Picked	4	1	5
Done	0	0	0
Total	649	45	694

Accuracy

99.6%

Counts

694 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.6%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 (/.f32 cosTheta_i v) cosTheta_O))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 (/.f32 cosTheta_i v) cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
▶	98.8%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O 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) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.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))
▶	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 #s(approx (+ ( (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i sinTheta_i))) (.f32 v v)) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) sinTheta_O) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	10.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 3 binary32))) (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (pow.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (.f32 (.f32 cosTheta_i v) cosTheta_O)) v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	75.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_O)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_i)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	54.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))))
	56.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O 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))))))
▶	54.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32))))
	98.6%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v)) cosTheta_O)
	98.6%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.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))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -1/2 binary32)) 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 (fma.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))) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -1/2 binary32)) cosTheta_O)) v)) v))
	54.6%	#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 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) #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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) 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)))))
	56.2%	#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) cosTheta_i) #s(literal 1/2 binary32)) (neg.f32 v)))
	56.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
	54.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.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)) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.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 v v))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))) cosTheta_i)) v))
	49.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal 1/4 binary32))) v))
	56.2%	#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)))
	98.5%	#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))))))
▶	56.2%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	56.2%	#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)))
	54.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.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 v v))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))) v))))
	54.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_O (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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)) (.f32 v v))) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))) v))))

Compiler

Compiled 4 908 to 3 272 computations (33.3% saved)

simplify126.0ms (1.3%)

Memory

19.7MiB live, 160.3MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	775
0	141	775
1	326	771
2	1220	755
3	7377	751
0	8127	739

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.2%)

Memory

4.6MiB live, 329.3MiB allocated; 51ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.174160009768442	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.21484375	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.28515625	(.f32 v (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.2646999633056345	(/.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))
accuracy	0.265625	(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
accuracy	0.44759750976844204	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
accuracy	20.550099652229292	#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
accuracy	0.26887384023130584	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	0.44759750976844204	(/.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))
accuracy	0.46647581041681585	(+.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32))
accuracy	25.520846414160292	#s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32)))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.0	(*.f32 #s(literal 1/2 binary32) cosTheta_i)
accuracy	0.13671875	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v))
accuracy	14.017131566013664	#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) cosTheta_i) (/.f32 cosTheta_O v)))
accuracy	0.10546875	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	0.158535009768442	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.23275375976844204	(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

148.0ms

256×

valid

Compiler

Compiled 626 to 76 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 62.0ms (51.8% of total)

ival-div: 27.0ms (22.6% of total)

const: 7.0ms (5.8% of total)

ival-add: 6.0ms (5% of total)

ival-exp: 6.0ms (5% of total)

ival-pow: 5.0ms (4.2% of total)

ival-neg: 3.0ms (2.5% of total)

ival-sinh: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series330.0ms (3.4%)

Memory

16.7MiB live, 535.1MiB allocated; 116ms collecting garbage

Counts

31 → 191

Calls

Call 1

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

Outputs
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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_i)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(/ cosTheta_O v)
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
1
(+ 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))))))))
(/ -1/12 (pow v 2))
(- (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/12 (/ 1 (pow v 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))))
(- 1/2 (* 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 (/ (* 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))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (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))
(- (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) 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)))) (/ 1/12 (* (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))) (/ 1/2 (pow sinTheta_i 2)))) (* 1/12 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(/ (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))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* 1/4 (/ (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)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))
(+ (* 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 (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(- (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 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 (/ (* 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))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (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)))))))
(+ (* -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))))
(* (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)))) (/ 1/12 (* (pow sinTheta_O 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 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* 1/4 (/ (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)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2))
(/ (+ (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(/ (+ (* -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 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (pow v 3)))))) (pow v 2))
(/ (+ (* -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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 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 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (pow v 3)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3)))) (pow v 3))) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))))
(/ (+ (* -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 (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) 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 (/ (* 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 (/ (* 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)))
(+ (* -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))))
(+ 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)
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))) (pow v 2))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v)) (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ 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))
(+ 1/2 (* -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 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))

Calls

15 calls:

Time	Variable		Point	Expression
76.0ms	cosTheta_i	@	0	((* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 cosTheta_i) (/ cosTheta_O v) (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (sinh (/ 1 v)) (* (/ cosTheta_i v) cosTheta_O) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) (/ (* sinTheta_O sinTheta_i) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))))
47.0ms	v	@	0	((* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 cosTheta_i) (/ cosTheta_O v) (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (sinh (/ 1 v)) (* (/ cosTheta_i v) cosTheta_O) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) (/ (* sinTheta_O sinTheta_i) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))))
28.0ms	sinTheta_O	@	-inf	((* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 cosTheta_i) (/ cosTheta_O v) (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (sinh (/ 1 v)) (* (/ cosTheta_i v) cosTheta_O) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) (/ (* sinTheta_O sinTheta_i) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))))
27.0ms	sinTheta_O	@	inf	((* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 cosTheta_i) (/ cosTheta_O v) (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (sinh (/ 1 v)) (* (/ cosTheta_i v) cosTheta_O) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) (/ (* sinTheta_O sinTheta_i) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))))
21.0ms	v	@	inf	((* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 cosTheta_i) (/ cosTheta_O v) (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (* (/ (* cosTheta_O cosTheta_i) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) 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))) (/ (* cosTheta_i cosTheta_O) v)) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (sinh (/ 1 v)) (* (/ cosTheta_i v) cosTheta_O) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) (/ (* sinTheta_O sinTheta_i) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))))

simplify203.0ms (2.1%)

Memory

14.1MiB live, 198.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	5588
1	3672	5537
0	8845	5246

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 191

Calls

Call 1

Inputs
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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_i)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(/ cosTheta_O v)
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
1
(+ 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))))))))
(/ -1/12 (pow v 2))
(- (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/12 (/ 1 (pow v 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))))
(- 1/2 (* 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 (/ (* 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))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (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))
(- (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) 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)))) (/ 1/12 (* (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))) (/ 1/2 (pow sinTheta_i 2)))) (* 1/12 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(/ (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))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* 1/4 (/ (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)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))
(+ (* 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 (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(- (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 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 (/ (* 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))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (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)))))))
(+ (* -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))))
(* (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)))) (/ 1/12 (* (pow sinTheta_O 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 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* 1/4 (/ (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)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2))
(/ (+ (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(/ (+ (* -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 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (pow v 3)))))) (pow v 2))
(/ (+ (* -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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 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 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (pow v 3)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3)))) (pow v 3))) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))))
(/ (+ (* -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 (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) 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 (/ (* 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 (/ (* 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)))
(+ (* -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))))
(+ 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)
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))) (pow v 2))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v)) (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ 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))
(+ 1/2 (* -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 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))

Outputs
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v)) #s(literal 1/2 binary32))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_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))
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32))) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_O v)) cosTheta_i)
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32))) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(/.f32 (.f32 (fma.f32 (neg.f32 cosTheta_O) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32))) cosTheta_i) (.f32 v v))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O sinTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) v)))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O sinTheta_i)))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (.f32 cosTheta_O sinTheta_i))) (.f32 v v))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32))) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32))) cosTheta_O)
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(/.f32 (.f32 (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32))) cosTheta_O) (.f32 v v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i sinTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_i) v)))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i sinTheta_i)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i sinTheta_i)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i 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)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(/ -1/12 (pow v 2))
(/.f32 #s(literal -1/12 binary32) (*.f32 v v))
(- (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/12 (/ 1 (pow v 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal -1/12 binary32) (.f32 v v)))
(- (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/12 (/ 1 (pow v 2))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal -1/12 binary32) (.f32 v 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))))
(+.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal -1/12 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 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) 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 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_O cosTheta_i) v))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i sinTheta_i))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) 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 (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_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v))) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.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 3 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) v))) sinTheta_i (.f32 cosTheta_O cosTheta_i))
(/ 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 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 (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)))))))
(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 (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)))))
(/ -1/6 (pow v 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
(- (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (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))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) #s(literal 1/2 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(.f32 (/.f32 #s(literal 1/4 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.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)))) (/ 1/12 (* (pow sinTheta_i 2) (pow v 2)))))
(.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v 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))))))
(.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_i sinTheta_i))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v)) #s(literal 1/2 binary32))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32))) (*.f32 sinTheta_i sinTheta_i))
(/ (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)))
(.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))))))
(.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_i v) (.f32 sinTheta_i v)))) (*.f32 sinTheta_i sinTheta_i))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(/.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 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) 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 #s(literal 1/2 binary32) (/.f32 sinTheta_O v) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) 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 #s(literal 1/2 binary32) (/.f32 sinTheta_O v) (/.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 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.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 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 sinTheta_i v)))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 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)))))))
(fma.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 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.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_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 #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 (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 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 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (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 (neg.f32 sinTheta_i) 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 (fma.f32 (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (.f32 (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(- (* 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 -1/12 binary32) (.f32 v 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 #s(literal 1/2 binary32) (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 -1/12 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 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.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 3 binary32)))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i sinTheta_i) (.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v)) #s(literal 1/2 binary32)))
(+ (* 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))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))) sinTheta_O (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.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 3 binary32)))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))) sinTheta_O (.f32 cosTheta_O cosTheta_i))
(+ (* 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)))))
(+ (* -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))))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.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 3 binary32))))
(* (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)))) (/ 1/12 (* (pow sinTheta_O 2) (pow v 2)))))
(.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v 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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_O sinTheta_O))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_O) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) 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 #s(literal 1/6 binary32) (.f32 (.f32 v sinTheta_O) (.f32 v sinTheta_O)))) (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (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)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 (/.f32 sinTheta_i 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_O))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.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 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_O)))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_O) (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))))
(* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))
(.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2))
(/.f32 (fma.f32 (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 (.f32 (.f32 sinTheta_i v) sinTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))
(/ (+ (* 1/2 (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(/.f32 (fma.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 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) v)) v)) (*.f32 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 3))
(/.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 (neg.f32 cosTheta_O) (.f32 (.f32 (*.f32 sinTheta_i v) sinTheta_O) cosTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/.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 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (.f32 (.f32 cosTheta_i v) cosTheta_O)) v)) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) (.f32 (*.f32 sinTheta_i v) cosTheta_i))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (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 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ 1/6 (pow v 3))
(/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) (.f32 (*.f32 sinTheta_i v) cosTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) (pow v 2))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (pow v 3)))))) (pow v 2))
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(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)))) v) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (*.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/.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 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32))))) v) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) cosTheta_i))) (neg.f32 v))) (neg.f32 v))) (.f32 v v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32)))) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) v) #s(literal 1/2 binary32))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32)))) v) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+.f32 (/.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 (.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) v)) (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32)))) v) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)))) (neg.f32 v))) v) #s(literal -1 binary32) #s(literal 1 binary32))
(* -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 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #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))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v)) #s(literal -1/2 binary32))
(* -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 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 (.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32))) v))) v))) (neg.f32 v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) v) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 (.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+.f32 (/.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)) (neg.f32 v)) #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 (/.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))) (neg.f32 v)) #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v 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 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1/2 binary32))
(+ 1/2 (* -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 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) #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)) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

rewrite142.0ms (1.5%)

Memory

-12.5MiB live, 87.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	539
0	141	539
1	467	530
0	3051	522

Stop Event

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

Counts

31 → 548

Calls

Call 1

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

Outputs
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) v))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) v) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) #s(literal 2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32))) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) v)
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32))) (*.f32 (neg.f32 v) v))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (neg.f32 v) (.f32 #s(literal -2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (neg.f32 v) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (.f32 (.f32 #s(literal -2 binary32) v) (neg.f32 v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (.f32 (neg.f32 v) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (.f32 v (.f32 #s(literal -2 binary32) v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (.f32 (.f32 #s(literal -2 binary32) v) v))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (.f32 (.f32 #s(literal 2 binary32) v) (neg.f32 v)))
(/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 #s(literal 2 binary32) v))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 #s(literal 2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) v))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -2 binary32) v))
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(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (*.f32 v v))))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32))) (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))))) (/.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))))))
(-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 (neg.f32 (/.f32 cosTheta_i v)) cosTheta_O))
(-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (neg.f32 sinTheta_O) (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v))))
(-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 (neg.f32 v) v)) sinTheta_O))
(fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (neg.f32 v)) (/.f32 sinTheta_O (neg.f32 v)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (fabs.f32 v)) (/.f32 sinTheta_O (fabs.f32 v)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) v) (/.f32 sinTheta_O v) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+.f32 (/.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) #s(literal 3 binary32)) (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))))
(+.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (/.f32 sinTheta_O (.f32 v v))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32))) (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) 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 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) 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 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) (.f32 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 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i) #s(literal 3 binary32)))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) 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 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) 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 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) (.f32 (neg.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) sinTheta_i)) cosTheta_O))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (neg.f32 (*.f32 cosTheta_O sinTheta_i)) (neg.f32 cosTheta_i)))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (neg.f32 (neg.f32 cosTheta_i)) (*.f32 cosTheta_O sinTheta_i)))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (*.f32 cosTheta_O sinTheta_i) cosTheta_i))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 (.f32 (neg.f32 cosTheta_i) 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))
(fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) sinTheta_i (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 (.f32 cosTheta_O sinTheta_i) (neg.f32 cosTheta_i) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(fma.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O sinTheta_i) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 cosTheta_O (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O))
(fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) sinTheta_i) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(fma.f32 cosTheta_i (neg.f32 (.f32 cosTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(fma.f32 sinTheta_i (.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
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(/.f32 (neg.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))) (neg.f32 (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v))) (neg.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (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 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v))) (.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
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(/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) v)
(/.f32 (/.f32 (.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(neg.f32 (/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
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(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32))))
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(*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
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(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(-.f32 (cosh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sinh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(pow.f32 (*.f32 (exp.f32 (/.f32 sinTheta_O v)) (exp.f32 (/.f32 sinTheta_O v))) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (+.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(+.f32 (neg.f32 (sinh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (cosh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (cosh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (neg.f32 (sinh.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 sinTheta_i))) (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(-.f32 (/.f32 (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)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))
#s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) (-.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 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1/2 binary32)))
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(/.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)) (neg.f32 v)) (neg.f32 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)) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (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)) v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.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 (fma.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))) (.f32 (.f32 v v) (.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)) v) v)
(/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/36 binary32)) (.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 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal -1/216 binary32)) (.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32))) (pow.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (*.f32 v v)))
(/.f32 (neg.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 (neg.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))
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(fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (fabs.f32 v)) (/.f32 sinTheta_i (fabs.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) sinTheta_i) v) (/.f32 sinTheta_i v) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (neg.f32 v)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (neg.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (fabs.f32 v)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (fabs.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (fabs.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (fabs.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) v) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v)) (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) (neg.f32 v)) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))
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(fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(fma.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (.f32 v v)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) (.f32 v v)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) v)))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) v)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(neg.f32 (/.f32 (neg.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 (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 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(neg.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))
(/.f32 (/.f32 #s(literal 1/6 binary32) (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) v) v)
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/.f32 #s(literal -1/6 binary32) (*.f32 (neg.f32 v) v))
(neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (neg.f32 v) (.f32 v #s(literal -1 binary32))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v (.f32 v #s(literal 1 binary32))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 3 binary32)) #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v))
(+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v))) (.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))) (-.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v))) (.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (*.f32 cosTheta_O sinTheta_i) cosTheta_i)) (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (*.f32 cosTheta_O sinTheta_i) cosTheta_i)) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (*.f32 cosTheta_O sinTheta_i) cosTheta_i)) v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)))) (.f32 v v))
(/.f32 (fma.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) (.f32 v v) (.f32 (.f32 v v) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))) (.f32 (.f32 v v) (*.f32 v v)))
(/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (*.f32 cosTheta_O sinTheta_i) cosTheta_i)) v) v)
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) 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)))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i) #s(literal 3 binary32)))) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 2 binary32))) (*.f32 v v)))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i))) (.f32 (neg.f32 v) v))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (neg.f32 v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 v)) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (fabs.f32 v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (fabs.f32 v)) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (neg.f32 v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) (fabs.f32 v)) (/.f32 cosTheta_O (fabs.f32 v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O sinTheta_i) (neg.f32 v)) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O sinTheta_i) (fabs.f32 v)) (/.f32 (neg.f32 cosTheta_i) (fabs.f32 v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (neg.f32 cosTheta_i) (fabs.f32 v)) (/.f32 (.f32 cosTheta_O sinTheta_i) (fabs.f32 v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O sinTheta_i) v) (/.f32 (neg.f32 cosTheta_i) v) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_i) v) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) (/.f32 cosTheta_O (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v v)) (.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)))
(fma.f32 (.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 cosTheta_i) (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_O sinTheta_i) (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(fma.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O sinTheta_i) (neg.f32 v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(+.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)) (.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)))
(+.f32 (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) sinTheta_i) v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(neg.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 (neg.f32 v) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 #s(literal 2 binary32) v))
(.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) v)
(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v v) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) v))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))

eval98.0ms (1%)

Memory: -6.3MiB live, 125.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 34 757 to 3 422 computations (90.2% saved)

prune88.0ms (0.9%)

Memory

-6.4MiB live, 95.3MiB allocated; 12ms collecting garbage

Pruning

54 alts after pruning (52 fresh and 2 done)

	Pruned	Kept	Total
New	628	27	655
Fresh	14	25	39
Picked	4	1	5
Done	0	1	1
Total	646	54	700

Accuracy

99.7%

Counts

700 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.3%	(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 cosTheta_O (/.f32 cosTheta_i v)))) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v))) #s(literal 2 binary32)) v)
	98.2%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.5%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 (/.f32 cosTheta_i v) cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
	62.3%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 cosTheta_O (/.f32 cosTheta_i v)))) #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))
	62.3%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 cosTheta_O (/.f32 cosTheta_i v)))) v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
▶	98.8%	(/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O 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) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) #s(approx ( v (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
	98.7%	(/.f32 (.f32 #s(approx (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
▶	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 #s(approx (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.f32 #s(approx (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v (.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 #s(approx (+ ( (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i sinTheta_i))) (.f32 v v)) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) sinTheta_O) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) sinTheta_O) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (.f32 (.f32 cosTheta_i v) cosTheta_O)) v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (.f32 cosTheta_O cosTheta_i)) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) sinTheta_i (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32))) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_O v)) cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	75.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_O)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_i)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	56.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O 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))))))
	54.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 #s(approx (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32))))
	54.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (+ (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 1/2) (/.f32 (fma.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 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) v)) v)) (*.f32 v v)))))
	98.7%	(.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) v))
	54.5%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32))))
▶	98.6%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	54.5%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32))))
	98.6%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	54.6%	#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 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) #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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) 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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	56.2%	#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) cosTheta_i) #s(literal 1/2 binary32)) (neg.f32 v)))
	56.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
	54.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v))
	49.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal 1/4 binary32))) v))
▶	56.2%	#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)))
	98.5%	#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))))))
✓	56.2%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	56.2%	#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 5 140 to 3 588 computations (30.2% saved)

simplify125.0ms (1.3%)

Memory

41.6MiB live, 128.4MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	638
0	126	638
1	288	630
2	1027	610
3	5585	607
0	8557	604

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (2.2%)

Memory

-24.1MiB live, 164.0MiB allocated; 76ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.21484375	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2890625	(/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19921875	(/.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))
accuracy	0.2073313109259798	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.21484375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21484375	(.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
accuracy	0.265625	(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
accuracy	0.44759750976844204	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
accuracy	20.550099652229292	#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.05859375	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
accuracy	0.10546875	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	14.017131566013664	#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)))
accuracy	0.158535009768442	(/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.17578125	(.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.234375	(.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)))
accuracy	0.8120729801630273	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

155.0ms

256×

valid

Compiler

Compiled 474 to 66 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 62.0ms (47.4% of total)

ival-mult: 41.0ms (31.4% of total)

ival-exp: 6.0ms (4.6% of total)

ival-pow: 5.0ms (3.8% of total)

ival-add: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-neg: 4.0ms (3.1% of total)

ival-sinh: 3.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series215.0ms (2.2%)

Memory

2.2MiB live, 242.0MiB allocated; 27ms collecting garbage

Counts

26 → 123

Calls

Call 1

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

Outputs
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i 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 (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(/ cosTheta_O v)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ cosTheta_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))))))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(/ 1 (* 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))) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))
(+ (* 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)))))))
(+ (* 1/2 (/ 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))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ 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)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i 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 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(* 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))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (pow v 3)))))) (pow v 2))
(/ (+ (* -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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) 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 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))))))) (pow v 3)))))) 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (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 (/ (+ (* -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 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1/2 (* -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 (/ (+ 1/6 (* 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
41.0ms	cosTheta_i	@	inf	((* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (/ (* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (sinh (/ 1 v))) (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* (/ cosTheta_O v) cosTheta_i) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (* (* 2 v) (sinh (/ 1 v))))
33.0ms	cosTheta_O	@	-inf	((* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (/ (* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (sinh (/ 1 v))) (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* (/ cosTheta_O v) cosTheta_i) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (* (* 2 v) (sinh (/ 1 v))))
19.0ms	cosTheta_O	@	0	((* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (/ (* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (sinh (/ 1 v))) (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* (/ cosTheta_O v) cosTheta_i) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (* (* 2 v) (sinh (/ 1 v))))
17.0ms	cosTheta_i	@	0	((* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (/ (* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (sinh (/ 1 v))) (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* (/ cosTheta_O v) cosTheta_i) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (* (* 2 v) (sinh (/ 1 v))))
15.0ms	sinTheta_O	@	inf	((* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (/ (* (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)))) (sinh (/ 1 v))) (/ cosTheta_i v) (* cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* (/ cosTheta_O v) cosTheta_i) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (+ (/ 1/6 (* v v)) 1) v) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (* (* 2 v) (sinh (/ 1 v))))

simplify145.0ms (1.5%)

Memory

2.9MiB live, 136.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	3938
1	2918	3882
0	8261	3679

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

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

Outputs
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v)) #s(literal 1/2 binary32))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(.f32 (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 sinTheta_i cosTheta_O)) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_O v)) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O)) v) (/.f32 sinTheta_O v) (/.f32 (neg.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 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(.f32 (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 sinTheta_i cosTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) cosTheta_O)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_i) v)) (neg.f32 cosTheta_O))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 cosTheta_i 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)))))
(* 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)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.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))) (* 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 sinTheta_O cosTheta_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 sinTheta_O cosTheta_O) v))) sinTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)
(+ (* -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 cosTheta_O (/.f32 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 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)))) sinTheta_i (*.f32 cosTheta_O (/.f32 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 (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 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)))) sinTheta_i (.f32 cosTheta_O (/.f32 cosTheta_i v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (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 (neg.f32 sinTheta_O) v)) sinTheta_i #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(/ 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)))))))
(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 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) 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 (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)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_i sinTheta_i))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ (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 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.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 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 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)))))))
(fma.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 (neg.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 (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 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)))))
(+ (* 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 sinTheta_i cosTheta_O) 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 sinTheta_i cosTheta_O) v))) sinTheta_O (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(+ (* 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 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)))) sinTheta_O (*.f32 cosTheta_O (/.f32 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 (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 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)))) sinTheta_O (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* 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 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_O sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
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(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/.f32 (-.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) 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 3))
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(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
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(* 1/2 (- (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 (pow v 3))
(/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) (pow v 2))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (pow v 3)))))) (pow v 2))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))))))) (pow v 3)))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
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1/2
#s(literal 1/2 binary32)
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(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
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2
#s(literal 2 binary32)
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(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 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 (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) v) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (*.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))
(/.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 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32))))) v) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) cosTheta_i))) (neg.f32 v))) (neg.f32 v))) (.f32 v v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.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 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32)))) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32))) (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 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (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 (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (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 (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 2 binary32))) sinTheta_i) #s(literal -1/6 binary32) (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/6 binary32)))) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))) (neg.f32 v))) (neg.f32 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 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #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))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O) 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 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+.f32 (/.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)) (neg.f32 v)) #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 (/.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))) (neg.f32 v)) #s(literal 1 binary32))
(+ 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)))
(fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))
(+ 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)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) #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)) #s(literal -1/2 binary32))) (neg.f32 v))) v) #s(literal -1 binary32) #s(literal 1/2 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))

rewrite95.0ms (1%)

Memory

4.5MiB live, 103.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	466
0	126	466
1	401	459
0	2503	456

Stop Event

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

Counts

26 → 393

Calls

Call 1

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

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

eval44.0ms (0.5%)

Memory: 28.1MiB live, 73.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 21 336 to 2 024 computations (90.5% saved)

prune134.0ms (1.4%)

Memory

-37.1MiB live, 134.4MiB allocated; 121ms collecting garbage

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	431	14	445
Fresh	23	24	47
Picked	3	2	5
Done	0	2	2
Total	457	42	499

Accuracy

99.7%

Counts

499 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) (.f32 v v)) sinTheta_O (.f32 (/.f32 cosTheta_i v) cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
	98.2%	(/.f32 (.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
	98.6%	(/.f32 (.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.f32 (.f32 (/.f32 cosTheta_i v) #s(approx ( cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (/.f32 cosTheta_i v) #s(approx ( cosTheta_O (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v))) (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) #s(literal 1/2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) #s(approx ( v (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
	98.7%	(/.f32 (.f32 #s(approx (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	98.5%	(/.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))
	68.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))
	98.7%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 #s(approx (* (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) (* 2 v)) (* (/ cosTheta_i v) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (.f32 (.f32 cosTheta_O sinTheta_i) cosTheta_i)) sinTheta_O) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (.f32 (.f32 cosTheta_i v) cosTheta_O)) v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (.f32 cosTheta_O cosTheta_i)) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	62.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i sinTheta_O) cosTheta_i) v)) (* cosTheta_O cosTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	75.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_O)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 v sinTheta_i)) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.0%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 #s(literal 2 binary32) v)) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	56.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
	54.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (* 2 v) (sinh (/ 1 v)))) (+.f32 #s(approx (+ (* (/ (+ (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32))))
	98.7%	(.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) #s(literal 2 binary32))) (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O 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))))))
	98.6%	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.6%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (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 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) 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 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	56.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	56.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
	54.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v))
	49.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal 1/4 binary32))) v))
✓	56.2%	#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)))
	98.5%	#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))))))
✓	56.2%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	56.2%	#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 6 343 to 1 937 computations (69.5% saved)

regimes216.0ms (2.2%)

Memory

-10.0MiB live, 224.4MiB allocated; 45ms collecting garbage

Counts

94 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

35.0ms	(*.f32 cosTheta_i cosTheta_O)
34.0ms	cosTheta_i
28.0ms	cosTheta_O
28.0ms	v
24.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
98.8%	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)

regimes147.0ms (1.5%)

Memory

40.3MiB live, 231.3MiB allocated; 14ms collecting garbage

Counts

74 → 1

Calls

Call 1

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

Outputs

(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O 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))))))

Calls

8 calls:

20.0ms	cosTheta_O
20.0ms	cosTheta_i
19.0ms	(*.f32 sinTheta_i sinTheta_O)
19.0ms	sinTheta_O
17.0ms	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)

regimes157.0ms (1.6%)

Memory

-6.7MiB live, 135.8MiB allocated; 12ms collecting garbage

Counts

66 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

20.0ms	cosTheta_O
16.0ms	(*.f32 sinTheta_i sinTheta_O)
16.0ms	v
16.0ms	sinTheta_O
15.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
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_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes123.0ms (1.3%)

Memory

-40.6MiB live, 114.6MiB allocated; 19ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

29.0ms	v
21.0ms	(*.f32 cosTheta_i cosTheta_O)
14.0ms	cosTheta_i
12.0ms	sinTheta_i
12.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`sinTheta_i`
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_O`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes109.0ms (1.1%)

Memory

5.6MiB live, 144.0MiB allocated; 11ms collecting garbage

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

19.0ms	(*.f32 cosTheta_i cosTheta_O)
16.0ms	sinTheta_i
15.0ms	cosTheta_i
12.0ms	v
12.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes131.0ms (1.4%)

Memory

22.0MiB live, 113.8MiB allocated; 13ms collecting garbage

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

Outputs

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

Calls

8 calls:

49.0ms	cosTheta_O
14.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	v
11.0ms	cosTheta_i
11.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes114.0ms (1.2%)

Memory

-23.7MiB live, 126.5MiB allocated; 10ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

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

33.0ms	sinTheta_O
21.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	cosTheta_O
10.0ms	v
10.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
68.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
68.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
68.9%	1	`cosTheta_i`
68.9%	1	`cosTheta_O`
68.9%	1	`sinTheta_i`
68.9%	1	`sinTheta_O`
68.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes70.0ms (0.7%)

Memory

-0.7MiB live, 45.9MiB allocated; 2ms collecting garbage

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

Outputs

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

Calls

8 calls:

31.0ms	cosTheta_O
6.0ms	v
6.0ms	cosTheta_i
5.0ms	sinTheta_O
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.3%	1	`cosTheta_O`
62.3%	1	`v`
62.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
62.3%	1	`cosTheta_i`
62.3%	1	`sinTheta_O`
62.3%	1	`sinTheta_i`
62.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes46.0ms (0.5%)

Memory

41.8MiB live, 85.5MiB allocated; 5ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
62.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
62.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.3%	1	`cosTheta_i`
62.3%	1	`cosTheta_O`
62.3%	1	`sinTheta_i`
62.3%	1	`sinTheta_O`
62.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes35.0ms (0.4%)

Memory

-33.9MiB live, 66.2MiB allocated; 8ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

8.0ms	v
6.0ms	(*.f32 sinTheta_i sinTheta_O)
4.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
56.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
56.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.2%	1	`cosTheta_i`
56.2%	1	`cosTheta_O`
56.2%	1	`sinTheta_i`
56.2%	1	`sinTheta_O`
56.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes19.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.2%	1	`sinTheta_i`
56.2%	1	`cosTheta_O`
56.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
56.2%	1	`cosTheta_i`
56.2%	1	`sinTheta_O`
56.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes11.0ms (0.1%)

Memory

-33.2MiB live, 14.1MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.2%	1	`cosTheta_O`
56.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
56.2%	1	`cosTheta_i`
56.2%	1	`sinTheta_i`
56.2%	1	`sinTheta_O`
56.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify55.0ms (0.6%)

Memory

45.1MiB live, 45.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	478
1	290	474
2	880	462
3	4323	460

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations461.0ms (4.8%)

Memory

-33.7MiB live, 295.3MiB allocated; 46ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 478 to 152 computations (68.2% saved)

preprocess179.0ms (1.9%)

Memory

6.8MiB live, 239.5MiB allocated; 45ms collecting garbage

Remove

(negabs cosTheta_O)

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 2 080 to 1 182 computations (43.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze702.0ms (7.3%)

sample2.8s (29.5%)

explain163.0ms (1.7%)

preprocess167.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify142.0ms (1.5%)

localize53.0ms (0.5%)

series95.0ms (1%)

simplify251.0ms (2.6%)

rewrite45.0ms (0.5%)

eval51.0ms (0.5%)

prune11.0ms (0.1%)

simplify180.0ms (1.9%)

localize211.0ms (2.2%)

series184.0ms (1.9%)

simplify240.0ms (2.5%)

rewrite102.0ms (1.1%)

eval82.0ms (0.8%)

prune67.0ms (0.7%)

simplify126.0ms (1.3%)

localize215.0ms (2.2%)

series330.0ms (3.4%)

simplify203.0ms (2.1%)

rewrite142.0ms (1.5%)

eval98.0ms (1%)

prune88.0ms (0.9%)

simplify125.0ms (1.3%)

localize214.0ms (2.2%)

series215.0ms (2.2%)

simplify145.0ms (1.5%)

rewrite95.0ms (1%)

eval44.0ms (0.5%)

prune134.0ms (1.4%)

regimes216.0ms (2.2%)

regimes147.0ms (1.5%)

regimes157.0ms (1.6%)

regimes123.0ms (1.3%)

regimes109.0ms (1.1%)

regimes131.0ms (1.4%)

regimes114.0ms (1.2%)

regimes70.0ms (0.7%)

regimes46.0ms (0.5%)

regimes35.0ms (0.4%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

simplify55.0ms (0.6%)

derivations461.0ms (4.8%)

preprocess179.0ms (1.9%)

end0.0ms (0%)

Profiling