Metrics for HairBSDF, Mp, upper

analyze1.1s (4.5%)

Memory

-26.6MiB live, 1 090.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.3s (9.9%)

Memory

76.6MiB live, 3 890.3MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 337.0ms (23.9% of total)

ival-div: 281.0ms (20% of total)

const: 249.0ms (17.7% of total)

ival-<=: 247.0ms (17.5% of total)

ival-sinh: 92.0ms (6.5% of total)

ival-exp: 73.0ms (5.2% of total)

ival-and: 50.0ms (3.5% of total)

ival-neg: 39.0ms (2.8% of total)

ival-<: 23.0ms (1.6% of total)

exact: 15.0ms (1.1% of total)

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

Bogosity

preprocess365.0ms (1.5%)

Memory

-17.5MiB live, 381.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 182×	`lower-*.f64`
6 172×	`lower-*.f32`
2 208×	`lower-fma.f64`
2 208×	`lower-fma.f32`
2 152×	`lower-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	535	441
2	2083	420
0	19	22
0	31	22
1	67	22
2	197	21
3	779	21
4	3042	21
5	3714	21
6	5454	21
0	8263	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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain306.0ms (1.3%)

Memory

4.4MiB live, 309.2MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
3	(1.2578965463455869e-21 0.1537194550037384 -9.493798108772822e-11 4.150481213789153e-36 0.2749636173248291)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	(5.648628158035674e-25 3.5071589594163906e-22 -6.803947877022763e-30 0.01596252992749214 0.22469262778759003)	-	`(/.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	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	76
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	1	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	88

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	252

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

76.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 14.0ms (35.8% of total)

ival-div: 13.0ms (33.3% of total)

ival-sinh: 5.0ms (12.8% of total)

ival-exp: 4.0ms (10.2% of total)

ival-neg: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify298.0ms (1.3%)

Memory

-11.9MiB live, 321.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6 182×	`lower-*.f64`
6 172×	`lower-*.f32`
2 208×	`lower-fma.f64`
2 208×	`lower-fma.f32`
2 152×	`lower-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	67	92
2	197	90
3	779	90
4	3042	90
5	3714	90
6	5454	90
0	8263	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 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i 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)) (.f32 v #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize94.0ms (0.4%)

Memory

-0.9MiB live, 38.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

30.0ms

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 (36.6% of total)

ival-div: 6.0ms (31.4% of total)

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

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

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (0.3%)

Memory

3.7MiB live, 41.7MiB allocated

Counts

8 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
34.0ms	cosTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	sinTheta_O	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	cosTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	cosTheta_O	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite314.0ms (1.3%)

Memory

-7.5MiB live, 304.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`lower-*.f64`
4 806×	`lower-*.f32`
3 750×	`lower-/.f64`
3 742×	`lower-/.f32`
1 524×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	89	68
2	528	68
3	6825	68
0	8065	68

Stop Event

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

Counts

8 → 806

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

simplify398.0ms (1.7%)

Memory

47.6MiB live, 708.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 374×	`lower-fma.f64`
10 374×	`lower-fma.f32`
5 366×	`lower-*.f64`
5 366×	`lower-*.f32`
3 038×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval112.0ms (0.5%)

Memory: -2.6MiB live, 272.3MiB allocated
Compiler: Compiled 27 265 to 2 906 computations (89.3% saved)

prune253.0ms (1.1%)

Memory

-44.3MiB live, 539.1MiB allocated

Pruning

49 alts after pruning (49 fresh and 0 done)

	Pruned	Kept	Total
New	1 045	49	1 094
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 046	49	1 095

Accuracy

99.7%

Counts

1 095 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	98.5%	(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	97.9%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.6%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	95.6%	(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
▶	59.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.5%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	65.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	59.6%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.7%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	91.9%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v #s(literal -2 binary32))))
	97.1%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.9%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.6%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v))))
▶	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
	98.6%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	98.5%	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (*.f32 v v)))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.6%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.6%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.5%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
▶	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
▶	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	90.4%	(exp.f32 (.f32 (+.f32 (log.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 2 806 to 1 910 computations (31.9% saved)

simplify228.0ms (1%)

Memory

5.5MiB live, 516.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

7 148×	`lower-*.f64`
7 118×	`lower-*.f32`
4 054×	`lower-fma.f64`
4 054×	`lower-fma.f32`
3 192×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	408
0	68	406
1	142	406
2	449	404
3	1872	401
4	3323	401
5	4467	401
0	8120	401

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (0.6%)

Memory

36.1MiB live, 396.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v)
✓	accuracy	99.2%	(/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.9%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.0%	(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

77.0ms

256×

valid

Compiler

Compiled 410 to 40 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 23.0ms (46.6% of total)

ival-div: 17.0ms (34.4% of total)

ival-exp: 4.0ms (8.1% of total)

ival-sinh: 3.0ms (6.1% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series149.0ms (0.6%)

Memory

-7.9MiB live, 268.6MiB allocated

Counts

21 → 756

Calls

Call 1

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

Outputs
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))))) (/ cosTheta_O (pow v 2)))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))))) (/ cosTheta_O (pow v 2)))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))>
#<alt (/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (pow v 2))>
#<alt (/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))>
#<alt (/ (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))) (pow v 2))>
#<alt (/ (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))>
#<alt (/ cosTheta_O v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_O v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_O v))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ cosTheta_O v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_O v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_O v))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ cosTheta_O v)>
#<alt (/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)>
#<alt (/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)>
#<alt (/ cosTheta_O v)>
#<alt (* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))>
#<alt (* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))>
#<alt (* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (* cosTheta_i v))>
#<alt (* v (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))>
#<alt (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))))>
#<alt (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))))>
#<alt (* 1/2 (* cosTheta_i v))>
#<alt (* -1 (* v (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))))>
#<alt (* -1 (* v (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>

Calls

189 calls:

Time	Variable		Point	Expression
24.0ms	sinTheta_i	@	-inf	(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) (* v 2)) (exp (/ (* sinTheta_i sinTheta_O) v))) v))
23.0ms	v	@	-inf	(* (* (sinh (/ 1 v)) (* v 2)) (exp (/ (* sinTheta_i sinTheta_O) v)))
8.0ms	sinTheta_i	@	-inf	(* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v)))))
3.0ms	cosTheta_i	@	0	(* (* cosTheta_i cosTheta_O) (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))))
3.0ms	sinTheta_i	@	0	(* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v)))))

rewrite239.0ms (1%)

Memory

-10.5MiB live, 391.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 604×	`lower-*.f64`
4 576×	`lower-*.f32`
4 024×	`lower-/.f64`
4 002×	`lower-/.f32`
1 192×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	245
0	68	246
1	214	246
2	1447	238
3	7991	238
0	8003	238

Stop Event

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

Counts

21 → 1 834

Calls

Call 1

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

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

simplify590.0ms (2.5%)

Memory

8.5MiB live, 835.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 872×	`lower-fma.f64`
11 872×	`lower-fma.f32`
8 760×	`lower-*.f64`
8 760×	`lower-*.f32`
3 944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	15157
1	2624	14471
0	8531	14253

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

Inputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ (* 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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ 1 v)
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(* 2 v)
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(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
2
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2
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(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))

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

eval788.0ms (3.3%)

Memory: 38.5MiB live, 460.6MiB allocated
Compiler: Compiled 73 064 to 4 276 computations (94.1% saved)

prune1.2s (5.1%)

Memory

-35.8MiB live, 649.5MiB allocated

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	3 014	48	3 062
Fresh	30	14	44
Picked	4	1	5
Done	0	0	0
Total	3 048	63	3 111

Accuracy

99.9%

Counts

3 111 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 v v))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	59.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	59.6%	(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
	98.5%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) (*.f32 v v)))
	65.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	65.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	65.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
	98.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	(/.f32 cosTheta_i (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 v cosTheta_O)))))
	60.1%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
	98.6%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	59.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v))
	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_O)
	98.5%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	97.2%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))) v))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
	59.6%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	98.7%	(.f32 (/.f32 cosTheta_O (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.6%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
▶	59.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	97.8%	(.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
▶	98.7%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
▶	98.7%	(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
	59.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	57.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (pow.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (.f32 (log.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))))
	94.8%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
	98.6%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))

Compiler

Compiled 3 232 to 2 211 computations (31.6% saved)

simplify1.2s (5.1%)

Memory

18.9MiB live, 298.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
✓	cost-diff	352	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)
✓	cost-diff	64	(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	256	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Rules

5 640×	`lower-*.f64`
5 608×	`lower-*.f32`
3 260×	`lower-fma.f64`
3 260×	`lower-fma.f32`
2 670×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	357
0	74	356
1	152	356
2	475	351
3	2103	351
4	3947	351
5	4866	351
6	7172	351
0	8347	351

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (0.8%)

Memory

5.2MiB live, 197.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	98.9%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

107.0ms

256×

valid

Compiler

Compiled 359 to 43 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 47.0ms (55.5% of total)

ival-div: 16.0ms (18.9% of total)

ival-neg: 13.0ms (15.3% of total)

ival-exp: 6.0ms (7.1% of total)

ival-sinh: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.4%)

Memory

5.5MiB live, 81.5MiB allocated

Counts

23 → 756

Calls

Call 1

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

Outputs
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 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))) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))))>
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#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 3))) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ 1/2 v)>
#<alt (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3)))))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (pow v 4))) (* 1/12 (/ (pow sinTheta_O 3) (pow v 4))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3)))))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 v)>
#<alt (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3)))))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (pow v 4))) (* 1/12 (/ (pow sinTheta_i 3) (pow v 4))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3)))))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>

Calls

189 calls:

Time	Variable		Point	Expression
25.0ms	sinTheta_i	@	-inf	(* (* (* cosTheta_i cosTheta_O) (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v))))) (/ 1 (* v (sinh (/ 1 v)))))
1.0ms	sinTheta_O	@	inf	(* (* cosTheta_i cosTheta_O) (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))
1.0ms	sinTheta_i	@	inf	(* (* cosTheta_i cosTheta_O) (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))
1.0ms	sinTheta_i	@	-inf	(* (* cosTheta_i cosTheta_O) (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))
1.0ms	sinTheta_O	@	-inf	(* (* cosTheta_i cosTheta_O) (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))

rewrite304.0ms (1.3%)

Memory

18.2MiB live, 376.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 104×	`lower-*.f64`
4 072×	`lower-*.f32`
4 050×	`lower-/.f64`
4 028×	`lower-/.f32`
1 050×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	227
0	74	226
1	225	221
2	1455	221
3	7164	221
0	8046	221

Stop Event

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

Counts

23 → 1 584

Calls

Call 1

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

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

simplify519.0ms (2.2%)

Memory

-8.9MiB live, 975.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 020×	`lower-fma.f64`
14 020×	`lower-fma.f32`
9 422×	`lower-*.f64`
9 422×	`lower-*.f32`
4 870×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	880	12655
1	2950	12134
0	9135	11957

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 752

Calls

Call 1

Inputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (* 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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_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))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
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(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
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1
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* 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))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 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 (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 3))) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* 1/2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3)))))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (pow v 4))) (* 1/12 (/ (pow sinTheta_O 3) (pow v 4))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3)))))) (* 1/2 (/ sinTheta_O (pow v 2))))) (* 1/2 (/ 1 v)))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3)))))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (pow v 4))) (* 1/12 (/ (pow sinTheta_i 3) (pow v 4))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3)))))) (* 1/2 (/ sinTheta_i (pow v 2))))) (* 1/2 (/ 1 v)))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))

Outputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.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 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O))) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* 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 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O))) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (neg.f32 sinTheta_i))))) (.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (.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 (/ (- (* -1/2 (* 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 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O))) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) 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 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O cosTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O))) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O))) (.f32 v v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O)) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) cosTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) cosTheta_O))) (.f32 v (.f32 v v)))) (neg.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (*.f32 v v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 sinTheta_O (.f32 sinTheta_i cosTheta_O))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) v)) (neg.f32 v))) v))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
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 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v (*.f32 v v)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))) (neg.f32 v))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i #s(literal 1/840 binary32) (.f32 cosTheta_i #s(literal -7/2160 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) (neg.f32 v))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
1
#s(literal 1 binary32)
(- 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))))))
1
#s(literal 1 binary32)
(- 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))))))

eval236.0ms (1%)

Memory: 37.4MiB live, 535.1MiB allocated
Compiler: Compiled 61 366 to 4 808 computations (92.2% saved)

prune633.0ms (2.7%)

Memory

-159.7MiB live, 876.9MiB allocated

Pruning

68 alts after pruning (65 fresh and 3 done)

	Pruned	Kept	Total
New	2 615	43	2 658
Fresh	35	22	57
Picked	3	2	5
Done	0	1	1
Total	2 653	68	2 721

Accuracy

99.9%

Counts

2 721 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
	97.7%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))))))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	65.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
▶	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	65.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
	60.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
	94.6%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	59.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	59.6%	(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) (*.f32 v v)))
	97.9%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 v v))
	98.3%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	65.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	65.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
	94.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
	60.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	60.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	94.6%	(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.5%	(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
	98.6%	(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
	94.3%	(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
	97.8%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	98.3%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
	98.4%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
	98.5%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	59.6%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	98.4%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	59.6%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
	95.6%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
	95.4%	(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
✓	59.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
▶	98.7%	(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
	98.6%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	98.4%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	95.3%	(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	98.2%	(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
	59.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
✓	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))))
▶	98.4%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
	94.8%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))

Compiler

Compiled 3 033 to 2 133 computations (29.7% saved)

simplify263.0ms (1.1%)

Memory

5.9MiB live, 436.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
✓	cost-diff	224	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_O (neg.f32 v)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(neg.f32 cosTheta_O)
✓	cost-diff	64	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
✓	cost-diff	192	(/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))
✓	cost-diff	64	(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
✓	cost-diff	64	(.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32))
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
✓	cost-diff	512	(.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 v #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 cosTheta_O (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	256	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Rules

5 428×	`lower-*.f64`
5 390×	`lower-*.f32`
4 968×	`lower-fma.f64`
4 964×	`lower-fma.f32`
2 588×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	496
0	106	480
1	223	475
2	688	469
3	3316	453
4	6013	451
0	8365	444

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (0.8%)

Memory

-15.8MiB live, 440.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
✓	accuracy	99.2%	(/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
✓	accuracy	98.9%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32)))
✓	accuracy	98.8%	(/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
✓	accuracy	99.0%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	accuracy	99.0%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.1%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 cosTheta_O (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 v #s(literal 2 binary32))
✓	accuracy	99.7%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

108.0ms

256×

valid

Compiler

Compiled 505 to 62 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 30.0ms (37.4% of total)

ival-mult: 30.0ms (37.4% of total)

const: 6.0ms (7.5% of total)

ival-add: 5.0ms (6.2% of total)

ival-neg: 3.0ms (3.7% of total)

ival-exp: 2.0ms (2.5% of total)

ival-sinh: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series64.0ms (0.3%)

Memory

19.0MiB live, 137.0MiB allocated

Counts

28 → 708

Calls

Call 1

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

Outputs
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* -1 cosTheta_O)>
#<alt (* -1 cosTheta_O)>
#<alt (* -1 cosTheta_O)>
#<alt (* -1 cosTheta_O)>
#<alt (* -1 cosTheta_O)>
#<alt (* -1 cosTheta_O)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (* -1 (/ sinTheta_O v))>
#<alt (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ sinTheta_O v))>
#<alt (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))>
#<alt (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))>
#<alt (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))>
#<alt (/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))>
#<alt (/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))>
#<alt (* -1 (/ sinTheta_O v))>
#<alt (/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)>
#<alt (/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)>
#<alt (/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)>
#<alt (* -1 (/ sinTheta_O v))>
#<alt (* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))>
#<alt (* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))>
#<alt (* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (pow v 4))>
#<alt (/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))>
#<alt (/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))>
#<alt (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1 (pow sinTheta_O 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1 (pow sinTheta_O 2)))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (/ sinTheta_i v) (/ 1 sinTheta_O)) sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (/ sinTheta_i v) (/ 1 sinTheta_O)) sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (/ (+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ v (* -1 (* sinTheta_O sinTheta_i))))) (pow v 2))>
#<alt (/ (+ (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ v (* -1 (* sinTheta_O sinTheta_i))))) (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (/ -1/120 (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)>
#<alt (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)>
#<alt (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>

Calls

177 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(* (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_O (* sinTheta_O sinTheta_i)) (* v v))) (/ sinTheta_O (neg v)))) 1) cosTheta_O) (/ cosTheta_i (* (* (sinh (/ 1 v)) 2) (* v v))))
3.0ms	cosTheta_O	@	0	(* (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_O (* sinTheta_O sinTheta_i)) (* v v))) (/ sinTheta_O (neg v)))) 1) cosTheta_O) (/ cosTheta_i (* (* (sinh (/ 1 v)) 2) (* v v))))
3.0ms	cosTheta_i	@	0	(* (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_O (* sinTheta_O sinTheta_i)) (* v v))) (/ sinTheta_O (neg v)))) 1) cosTheta_O) (/ cosTheta_i (* (* (sinh (/ 1 v)) 2) (* v v))))
2.0ms	cosTheta_O	@	0	(/ (/ (* cosTheta_O cosTheta_i) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
2.0ms	cosTheta_i	@	-inf	(/ (/ (* cosTheta_O cosTheta_i) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))

rewrite309.0ms (1.3%)

Memory

13.0MiB live, 484.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 128×	`lower-*.f64`
5 090×	`lower-*.f32`
4 702×	`lower-/.f64`
4 666×	`lower-/.f32`
2 340×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	358
0	106	342
1	391	337
2	2918	327
0	8356	321

Stop Event

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

Counts

28 → 930

Calls

Call 1

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

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

simplify525.0ms (2.2%)

Memory

28.3MiB live, 647.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 978×	`lower-fma.f64`
10 978×	`lower-fma.f32`
8 138×	`lower-*.f64`
8 138×	`lower-*.f32`
3 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	781	12566
1	2495	12030
0	8269	11815

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 704

Calls

Call 1

Inputs
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (* 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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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2
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
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(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 cosTheta_O)
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(* -1 cosTheta_O)
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(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (- (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* -1 (/ sinTheta_O v))
(+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))
(+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))
(+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))
(/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))
(/ (+ (* -1 (* sinTheta_O v)) (* 1/2 (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))
(* -1 (/ sinTheta_O v))
(/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(/ (+ (* -1 sinTheta_O) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(* -1 (/ sinTheta_O v))
(* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))
(* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))
(* -1 (/ (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) 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))))))) (* 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)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 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 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 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)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(* 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)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 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) 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 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))
(/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
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)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1 (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1 (pow sinTheta_O 2)))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ sinTheta_i (* sinTheta_O v))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (/ sinTheta_i v) (/ 1 sinTheta_O)) sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (/ sinTheta_i v) (/ 1 sinTheta_O)) sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(/ (+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ v (* -1 (* sinTheta_O sinTheta_i))))) (pow v 2))
(/ (+ (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ v (* -1 (* sinTheta_O sinTheta_i))))) (pow v 2))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(/ -1/120 (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
-2
(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)
(- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
-2
(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)
(- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))

Outputs
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (.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 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (.f32 v v))))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (neg.f32 sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_i cosTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (*.f32 v v)) sinTheta_i))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (.f32 v v)) sinTheta_i)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (*.f32 sinTheta_i sinTheta_i)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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 sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (.f32 v v)) sinTheta_i)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (*.f32 sinTheta_i sinTheta_i)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (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)))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (*.f32 v v)) sinTheta_i))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (*.f32 v v) sinTheta_i)))) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (*.f32 v v) sinTheta_i)))) sinTheta_i))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_i cosTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (*.f32 v v)) sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (.f32 v v)) sinTheta_O))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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 sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (.f32 v v)) sinTheta_O))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (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)))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v (*.f32 v v)) sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (*.f32 v v) sinTheta_O)))) (neg.f32 sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (*.f32 v v) sinTheta_O)))) (neg.f32 sinTheta_O))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 (neg.f32 sinTheta_O) (.f32 v sinTheta_i)) (/.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 (neg.f32 sinTheta_O) (.f32 v sinTheta_i)) (/.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (*.f32 cosTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (*.f32 cosTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_O)
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (neg.f32 sinTheta_O))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (neg.f32 sinTheta_O))) (/.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (.f32 v v)) (fma.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (neg.f32 sinTheta_O))) (/.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (neg.f32 sinTheta_O))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_i v) (/.f32 cosTheta_O (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_i v) (/.f32 cosTheta_O (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O) (.f32 cosTheta_O (.f32 v (.f32 sinTheta_O (neg.f32 sinTheta_i))))) (.f32 v v))
(/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v))
(/ (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v)))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i cosTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O)) v)) v))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i cosTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O)) v)) v))
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
(* cosTheta_O (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) (.f32 sinTheta_i cosTheta_O) cosTheta_O)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(/.f32 (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (neg.f32 sinTheta_O) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i))) (/.f32 sinTheta_O (.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1 (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i))) (/.f32 sinTheta_O (.f32 v sinTheta_i))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(/.f32 (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (neg.f32 sinTheta_O) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (neg.f32 (-.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (/ sinTheta_O v) (/ 1 sinTheta_i)) sinTheta_i)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (neg.f32 (-.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i))))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 v (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(.f32 v (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))) (neg.f32 v))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (.f32 v (.f32 v (.f32 v v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i #s(literal -1/840 binary32) (.f32 cosTheta_i #s(literal 7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) (.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i #s(literal 1/840 binary32) (.f32 cosTheta_i #s(literal -7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v)))) (neg.f32 v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (*.f32 v v))

eval250.0ms (1.1%)

Memory: -17.9MiB live, 325.7MiB allocated
Compiler: Compiled 50 961 to 5 071 computations (90% saved)

prune424.0ms (1.8%)

Memory

-2.1MiB live, 845.4MiB allocated

Pruning

106 alts after pruning (101 fresh and 5 done)

	Pruned	Kept	Total
New	1 664	52	1 716
Fresh	11	49	60
Picked	3	2	5
Done	0	3	3
Total	1 678	106	1 784

Accuracy

99.9%

Counts

1 784 → 106

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
	59.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
	97.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))))))))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	65.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	65.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
	60.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
	94.6%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.9%	(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (fma.f32 sinTheta_i (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_O)) v)) sinTheta_O) v) #s(literal 1 binary32)))) (*.f32 v v))
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	71.1%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
✓	59.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	59.6%	(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) (*.f32 v v)))
	98.3%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	71.1%	(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
	71.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
	71.1%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
	59.6%	(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
	94.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
	60.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	69.5%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
	60.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	94.6%	(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.5%	(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
	98.6%	(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
	98.5%	(.f32 (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v)) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
	71.1%	(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
	59.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
	71.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
	97.8%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	98.3%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
	98.4%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	59.6%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	71.2%	(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
	71.2%	(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
	98.4%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	59.6%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	71.2%	(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
	71.2%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
	59.6%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
	59.6%	(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
	95.6%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	71.1%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
	95.4%	(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
✓	59.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	71.2%	(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
	77.6%	(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
	98.7%	(.f32 (.f32 (fma.f32 sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v (neg.f32 sinTheta_O))) (.f32 v v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
	63.3%	(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
	98.6%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	98.4%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	49.2%	(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
	51.4%	(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
	56.2%	(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
	98.2%	(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	71.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
✓	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
✓	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))))
	71.1%	(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
	57.6%	(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
	71.2%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
	77.5%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
	65.2%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
	77.5%	(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
	98.3%	(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
	94.6%	(.f32 (neg.f32 cosTheta_O) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32)))))
	98.6%	(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
	62.5%	(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
	71.2%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
	71.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
	71.2%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
	59.6%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))

Compiler

Compiled 6 925 to 2 641 computations (61.9% saved)

regimes428.0ms (1.8%)

Memory

-23.3MiB live, 679.5MiB allocated

Counts

193 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
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(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))) v))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) v) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (pow.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

56.0ms	cosTheta_O
54.0ms	cosTheta_i
53.0ms	(*.f32 cosTheta_i cosTheta_O)
53.0ms	sinTheta_i
51.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes411.0ms (1.7%)

Memory

40.8MiB live, 610.5MiB allocated

Counts

165 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
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(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 v v))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))

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

Calls

8 calls:

67.0ms	(/.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))
66.0ms	cosTheta_O
58.0ms	sinTheta_i
45.0ms	sinTheta_O
45.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes432.0ms (1.8%)

Memory

-16.0MiB live, 717.1MiB allocated

Counts

158 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (fma.f32 sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v (neg.f32 sinTheta_O))) (.f32 v v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (fma.f32 sinTheta_i (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_O)) v)) sinTheta_O) v) #s(literal 1 binary32)))) (*.f32 v v))
(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v)) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_i (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 v cosTheta_O)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 v v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) (*.f32 v v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v #s(literal 2 binary32)) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) (*.f32 v v))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Outputs

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

Calls

8 calls:

84.0ms	sinTheta_O
69.0ms	(*.f32 cosTheta_i cosTheta_O)
52.0ms	v
48.0ms	cosTheta_O
46.0ms	sinTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes415.0ms (1.8%)

Memory

7.8MiB live, 617.3MiB allocated

Counts

146 → 1

Calls

Call 1

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

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

Calls

8 calls:

104.0ms	cosTheta_i
74.0ms	sinTheta_i
44.0ms	cosTheta_O
42.0ms	v
41.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes390.0ms (1.7%)

Memory

5.2MiB live, 644.1MiB allocated

Counts

140 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
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(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_i (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 v cosTheta_O)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (*.f32 v v))

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

Calls

8 calls:

78.0ms	sinTheta_O
61.0ms	(/.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))
56.0ms	v
42.0ms	cosTheta_O
42.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes304.0ms (1.3%)

Memory

4.7MiB live, 553.6MiB allocated

Counts

131 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (fma.f32 sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v (neg.f32 sinTheta_O))) (.f32 v v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (fma.f32 sinTheta_i (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_O)) v)) sinTheta_O) v) #s(literal 1 binary32)))) (*.f32 v v))
(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v)) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i))

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

Calls

8 calls:

62.0ms	sinTheta_O
37.0ms	cosTheta_i
35.0ms	cosTheta_O
34.0ms	(*.f32 sinTheta_i sinTheta_O)
34.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes327.0ms (1.4%)

Memory

-12.8MiB live, 502.1MiB allocated

Counts

125 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
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(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))

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

Calls

8 calls:

50.0ms	(*.f32 sinTheta_i sinTheta_O)
48.0ms	sinTheta_i
45.0ms	(*.f32 cosTheta_i cosTheta_O)
44.0ms	cosTheta_O
35.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes288.0ms (1.2%)

Memory

8.7MiB live, 486.2MiB allocated

Counts

121 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (fma.f32 sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v (neg.f32 sinTheta_O))) (.f32 v v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (fma.f32 sinTheta_i (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_O)) v)) sinTheta_O) v) #s(literal 1 binary32)))) (*.f32 v v))
(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O))) (.f32 v v)) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v v))))
(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) sinTheta_i)) (neg.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (.f32 v (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))

Outputs

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

Calls

8 calls:

56.0ms	cosTheta_i
38.0ms	sinTheta_i
34.0ms	(*.f32 sinTheta_i sinTheta_O)
33.0ms	v
32.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes310.0ms (1.3%)

Memory

-6.6MiB live, 394.2MiB allocated

Counts

107 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 v v)))
(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

47.0ms	cosTheta_O
45.0ms	(*.f32 cosTheta_i cosTheta_O)
45.0ms	cosTheta_i
42.0ms	sinTheta_i
35.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes271.0ms (1.1%)

Memory

55.1MiB live, 513.3MiB allocated

Counts

100 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

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

Calls

8 calls:

54.0ms	sinTheta_i
51.0ms	sinTheta_O
32.0ms	cosTheta_i
28.0ms	cosTheta_O
27.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes247.0ms (1%)

Memory

-32.5MiB live, 493.2MiB allocated

Counts

97 → 1

Calls

Call 1

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

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

Calls

8 calls:

54.0ms	cosTheta_O
30.0ms	(*.f32 cosTheta_i cosTheta_O)
29.0ms	cosTheta_i
27.0ms	v
26.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes235.0ms (1%)

Memory

12.1MiB live, 421.7MiB allocated

Counts

88 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))

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

Calls

8 calls:

44.0ms	cosTheta_O
37.0ms	sinTheta_i
31.0ms	cosTheta_i
29.0ms	sinTheta_O
25.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes276.0ms (1.2%)

Memory

-20.3MiB live, 251.1MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) cosTheta_O)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (neg.f32 v))))
(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal -2 binary32)) v)))))

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

Calls

8 calls:

53.0ms	v
47.0ms	sinTheta_i
41.0ms	sinTheta_O
31.0ms	(*.f32 sinTheta_i sinTheta_O)
26.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes215.0ms (0.9%)

Memory

45.8MiB live, 198.0MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i cosTheta_O))

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

Calls

8 calls:

49.0ms	v
41.0ms	sinTheta_i
31.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	cosTheta_O
18.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes238.0ms (1%)

Memory

-45.4MiB live, 241.2MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))

Outputs

(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v))) (neg.f32 (*.f32 v (*.f32 v (*.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal -2 binary32)))))

Calls

8 calls:

42.0ms	cosTheta_O
41.0ms	v
35.0ms	sinTheta_O
20.0ms	sinTheta_i
18.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
77.5%	1	`cosTheta_i`
77.5%	1	`cosTheta_O`
77.5%	1	`sinTheta_i`
77.5%	1	`sinTheta_O`
77.5%	1	`v`
77.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
77.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
77.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes207.0ms (0.9%)

Memory

17.1MiB live, 253.8MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 288000 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) (.f32 (.f32 v v) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))

Outputs

(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (*.f32 v (*.f32 v (*.f32 v v))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))))

Calls

8 calls:

43.0ms	(*.f32 cosTheta_i cosTheta_O)
35.0ms	sinTheta_i
22.0ms	sinTheta_O
18.0ms	cosTheta_O
18.0ms	(/.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
77.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
77.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
77.5%	1	`cosTheta_i`
77.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
77.5%	1	`cosTheta_O`
77.5%	1	`sinTheta_i`
77.5%	1	`sinTheta_O`
77.5%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes193.0ms (0.8%)

Memory

11.9MiB live, 292.7MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1/120 binary32) #s(literal 1/6 binary32)) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))) v))
(.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (*.f32 v v))))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 v)) v) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

37.0ms	cosTheta_O
36.0ms	cosTheta_i
32.0ms	(/.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))
19.0ms	sinTheta_i
18.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.2%	1	`cosTheta_i`
71.2%	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))`
71.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.2%	1	`cosTheta_O`
71.2%	1	`sinTheta_i`
71.2%	1	`sinTheta_O`
71.2%	1	`v`
71.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes105.0ms (0.4%)

Memory

3.4MiB live, 279.0MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
(/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (.f32 v #s(literal 2 binary32)))) (neg.f32 v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (neg.f32 v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))) (/.f32 cosTheta_i v))

Outputs

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

Calls

8 calls:

15.0ms	(*.f32 sinTheta_i sinTheta_O)
14.0ms	cosTheta_O
13.0ms	sinTheta_O
13.0ms	sinTheta_i
13.0ms	v

Results

Accuracy	Segments	Branch
71.2%	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))`
71.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.2%	1	`cosTheta_O`
71.2%	1	`cosTheta_i`
71.2%	1	`sinTheta_O`
71.2%	1	`sinTheta_i`
71.2%	1	`v`
71.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes96.0ms (0.4%)

Memory

-19.6MiB live, 259.8MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v (fma.f32 v (.f32 v #s(literal 2 binary32)) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 v (.f32 v (.f32 v v))))) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))

Outputs
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -2 binary32))))

Calls

8 calls:

19.0ms	cosTheta_O
11.0ms	cosTheta_i
11.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	sinTheta_i
11.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
71.2%	1	`cosTheta_O`
71.2%	1	`sinTheta_i`
71.2%	1	`sinTheta_O`
71.2%	1	`v`
71.2%	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))`
71.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes77.0ms (0.3%)

Memory

36.3MiB live, 229.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (fma.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) v (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

12.0ms	cosTheta_i
12.0ms	cosTheta_O
10.0ms	sinTheta_i
10.0ms	v
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
71.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.1%	1	`sinTheta_i`
71.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
71.1%	1	`cosTheta_i`
71.1%	1	`cosTheta_O`
71.1%	1	`v`
71.1%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes69.0ms (0.3%)

Memory

-23.5MiB live, 213.7MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 v (.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (.f32 v (.f32 v (*.f32 v v)))))

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

Calls

8 calls:

11.0ms	cosTheta_O
9.0ms	cosTheta_i
9.0ms	sinTheta_i
9.0ms	v
8.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_i`
65.2%	1	`sinTheta_i`
65.2%	1	`sinTheta_O`
65.2%	1	`v`
65.2%	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))`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`cosTheta_O`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes94.0ms (0.4%)

Memory

-1.5MiB live, 115.7MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))

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

Calls

8 calls:

35.0ms	sinTheta_i
19.0ms	cosTheta_O
7.0ms	sinTheta_O
7.0ms	v
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.1%	1	`sinTheta_O`
65.1%	1	`cosTheta_i`
65.1%	1	`sinTheta_i`
65.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.1%	1	`cosTheta_O`
65.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.1%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes56.0ms (0.2%)

Memory

21.1MiB live, 112.3MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v))
(.f32 (.f32 v v) (.f32 v (fma.f32 #s(literal -1200 binary32) (.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))

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

Calls

8 calls:

11.0ms	(*.f32 cosTheta_i cosTheta_O)
7.0ms	sinTheta_i
6.0ms	cosTheta_i
6.0ms	sinTheta_O
6.0ms	v

Results

Accuracy	Segments	Branch
60.3%	1	`v`
60.3%	1	`cosTheta_i`
60.3%	1	`sinTheta_i`
60.3%	1	`sinTheta_O`
60.3%	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))`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`cosTheta_O`
60.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes48.0ms (0.2%)

Memory

3.5MiB live, 79.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (.f32 v (neg.f32 v))) v)
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v))) cosTheta_i)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (.f32 v v)))) (.f32 v v))

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

Calls

8 calls:

8.0ms	sinTheta_O
7.0ms	cosTheta_O
6.0ms	sinTheta_i
5.0ms	v
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.1%	1	`v`
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.1%	1	`cosTheta_i`
60.1%	1	`sinTheta_O`
60.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	1	`sinTheta_i`
60.1%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes36.0ms (0.2%)

Memory

-12.4MiB live, 66.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_O))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)

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

Calls

8 calls:

7.0ms	sinTheta_i
6.0ms	v
4.0ms	cosTheta_O
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.1%	1	`cosTheta_i`
60.1%	1	`sinTheta_O`
60.1%	1	`v`
60.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	1	`cosTheta_O`
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.1%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes26.0ms (0.1%)

Memory

19.4MiB live, 57.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (.f32 v v) (.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
59.6%	1	`cosTheta_i`
59.6%	1	`sinTheta_O`
59.6%	1	`v`
59.6%	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))`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.6%	1	`cosTheta_O`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes27.0ms (0.1%)

Memory

-37.7MiB live, 43.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	v
3.0ms	cosTheta_i
3.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.6%	1	`v`
59.6%	1	`sinTheta_O`
59.6%	1	`cosTheta_i`
59.6%	1	`cosTheta_O`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`sinTheta_i`
59.6%	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))`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes21.0ms (0.1%)

Memory

3.9MiB live, 42.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	v
3.0ms	sinTheta_O
2.0ms	cosTheta_i
2.0ms	sinTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.6%	1	`v`
59.6%	1	`cosTheta_i`
59.6%	1	`sinTheta_O`
59.6%	1	`cosTheta_O`
59.6%	1	`sinTheta_i`
59.6%	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))`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes18.0ms (0.1%)

Memory

1.1MiB live, 40.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	v
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	cosTheta_O
2.0ms	sinTheta_O
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
59.6%	1	`v`
59.6%	1	`sinTheta_O`
59.6%	1	`cosTheta_i`
59.6%	1	`cosTheta_O`
59.6%	1	`sinTheta_i`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.6%	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))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes12.0ms (0%)

Memory

-4.4MiB live, 34.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
59.6%	1	`v`
59.6%	1	`sinTheta_i`
59.6%	1	`sinTheta_O`
59.6%	1	`cosTheta_O`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`cosTheta_i`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.6%	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))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify168.0ms (0.7%)

Memory

30.5MiB live, 113.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 172×	`distribute-lft-neg-in_binary32`
1 098×	`unsub-neg_binary32`
1 070×	`neg-mul-1_binary32`
764×	`neg-sub0_binary32`
614×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	166	534
1	304	532
2	451	530
3	640	527
4	864	524
5	1145	524
6	1477	524
7	2162	524
8	3097	524
9	3711	524
10	4024	524
11	4298	524
12	4382	524
13	4412	524
14	4417	524
15	4629	524
16	4681	524
17	4683	524
18	4683	524
19	4683	524

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.8s (11.8%)

Memory

2.9MiB live, 1 907.3MiB allocated

Rules

14 020×	`lower-fma.f64`
14 020×	`lower-fma.f32`
11 872×	`lower-fma.f64`
11 872×	`lower-fma.f32`
10 978×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	358
0	106	342
1	391	337
2	2918	327
0	8356	321
0	334	4121
1	1040	4000
2	3827	3767
3	7003	3766
0	8049	3724
0	811	15157
1	2624	14471
0	8531	14253
0	880	12655
1	2950	12134
0	9135	11957
0	19	70
0	31	70
1	89	68
2	528	68
3	6825	68
0	8065	68
0	781	12566
1	2495	12030
0	8269	11815
0	41	227
0	74	226
1	225	221
2	1455	221
3	7164	221
0	8046	221
0	38	245
0	68	246
1	214	246
2	1447	238
3	7991	238
0	8003	238

Stop Event

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

Compiler

Compiled 1 337 to 752 computations (43.8% saved)

preprocess568.0ms (2.4%)

Memory

-6.6MiB live, 1 432.3MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 6 512 to 4 152 computations (36.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.1s (4.5%)

sample2.3s (9.9%)

preprocess365.0ms (1.5%)

explain306.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify298.0ms (1.3%)

localize94.0ms (0.4%)

series78.0ms (0.3%)

rewrite314.0ms (1.3%)

simplify398.0ms (1.7%)

eval112.0ms (0.5%)

prune253.0ms (1.1%)

simplify228.0ms (1%)

localize147.0ms (0.6%)

series149.0ms (0.6%)

rewrite239.0ms (1%)

simplify590.0ms (2.5%)

eval788.0ms (3.3%)

prune1.2s (5.1%)

simplify1.2s (5.1%)

localize184.0ms (0.8%)

series85.0ms (0.4%)

rewrite304.0ms (1.3%)

simplify519.0ms (2.2%)

eval236.0ms (1%)

prune633.0ms (2.7%)

simplify263.0ms (1.1%)

localize198.0ms (0.8%)

series64.0ms (0.3%)

rewrite309.0ms (1.3%)

simplify525.0ms (2.2%)

eval250.0ms (1.1%)

prune424.0ms (1.8%)

regimes428.0ms (1.8%)

regimes411.0ms (1.7%)

regimes432.0ms (1.8%)

regimes415.0ms (1.8%)

regimes390.0ms (1.7%)

regimes304.0ms (1.3%)

regimes327.0ms (1.4%)

regimes288.0ms (1.2%)

regimes310.0ms (1.3%)

regimes271.0ms (1.1%)

regimes247.0ms (1%)

regimes235.0ms (1%)

regimes276.0ms (1.2%)

regimes215.0ms (0.9%)

regimes238.0ms (1%)

regimes207.0ms (0.9%)

regimes193.0ms (0.8%)

regimes105.0ms (0.4%)

regimes96.0ms (0.4%)

regimes77.0ms (0.3%)

regimes69.0ms (0.3%)

regimes94.0ms (0.4%)

regimes56.0ms (0.2%)

regimes48.0ms (0.2%)

regimes36.0ms (0.2%)

regimes26.0ms (0.1%)

regimes27.0ms (0.1%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes12.0ms (0%)

simplify168.0ms (0.7%)

soundness2.8s (11.8%)

preprocess568.0ms (2.4%)

end0.0ms (0%)

Profiling