Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze640.0ms (3.6%)

Memory

17.2MiB live, 927.9MiB 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)

sample2.8s (15.3%)

Memory

95.7MiB live, 3 721.6MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-div: 385.0ms (25.7% of total)

ival-mult: 317.0ms (21.1% of total)

const: 243.0ms (16.2% of total)

ival-<=: 184.0ms (12.3% of total)

ival-sinh: 109.0ms (7.3% of total)

ival-exp: 97.0ms (6.5% of total)

ival-neg: 66.0ms (4.4% of total)

ival-and: 57.0ms (3.8% of total)

ival-<: 21.0ms (1.4% of total)

exact: 17.0ms (1.1% of total)

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

Bogosity

explain273.0ms (1.5%)

Memory

5.0MiB live, 283.3MiB 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))`
4	(9.593350826187994e-14 3.441488483080235e-10 6.048994890040188e-39 4.641348638756426e-8 0.3548182249069214)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	(8.409084096516923e-30 2.474530820223206e-17 2.548501640831091e-7 5.432819194517435e-10 0.15950872004032135)	-	`(/.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	4	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	87
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	82

Confusion

	Predicted +	Predicted -
+	0	0
-	7	249

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	7	0	249

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

82.0ms

512×

valid

Compiler

Compiled 302 to 80 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 23.0ms (45.7% of total)

ival-mult: 15.0ms (29.8% of total)

ival-sinh: 5.0ms (9.9% of total)

ival-exp: 4.0ms (7.9% of total)

ival-neg: 2.0ms (4% of total)

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

exact: 1.0ms (2% of total)

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

preprocess308.0ms (1.7%)

Memory

7.0MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify166.0ms (0.9%)

Memory

6.7MiB live, 119.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))

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

localize124.0ms (0.7%)

Memory

14.3MiB live, 52.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

113.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

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

ival-mult: 8.0ms (40.2% of total)

ival-div: 6.0ms (30.1% of total)

ival-exp: 2.0ms (10% of total)

ival-sinh: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.2%)

Memory

-18.3MiB live, 32.5MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
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#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (taylor 0 v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ 1 v) (taylor inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v) (taylor inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v) (taylor inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v) (taylor inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* 1/3 (/ 1 (pow v 2)))) (taylor inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) (taylor inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) (taylor inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf v) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf v) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ 1 v) (taylor -inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v) (taylor -inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)) (taylor -inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)) (taylor -inf v) (#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* 1/3 (/ 1 (pow v 2)))) (taylor -inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) (taylor -inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) (taylor -inf v) (#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	sinTheta_O	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
11.0ms	sinTheta_O	@	inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	v	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	v	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	v	@	inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))

simplify122.0ms (0.7%)

Memory

7.5MiB live, 115.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	924
1	152	916
2	351	913
3	791	912
4	1800	912
5	4791	912
6	7186	912
0	8092	912

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite186.0ms (1%)

Memory

-7.2MiB live, 126.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31

Stop Event

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

Counts

6 → 499

Calls

Call 1

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

Outputs
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eval98.0ms (0.5%)

Memory: 20.7MiB live, 241.0MiB allocated
Compiler: Compiled 19 068 to 2 416 computations (87.3% saved)

prune130.0ms (0.7%)

Memory

5.8MiB live, 243.9MiB allocated

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	615	40	655
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	615	41	656

Accuracy

99.7%

Counts

656 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.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 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) 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 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v))))
	97.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))))
▶	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.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 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))) #s(literal 2 binary32)) v))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
▶	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (/.f32 cosTheta_O v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 2 498 to 1 937 computations (22.5% saved)

simplify125.0ms (0.7%)

Memory

-25.0MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	3584	(pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	544	(/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	566
0	93	562
1	187	524
2	706	524
3	3399	524
4	6922	524
0	8274	524

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

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

localize232.0ms (1.3%)

Memory

7.1MiB live, 368.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34603500976844204	(.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
accuracy	0.8112504528742007	(cosh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.4742028087914232	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
accuracy	1.5659791680373027	(pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3804815422991583	(pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.296875	(/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.166347509768442	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	23.15693962889567	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.30876015578794114	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

111.0ms

256×

valid

Compiler

Compiled 1 114 to 99 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 29.0ms (37.4% of total)

ival-mult: 20.0ms (25.8% of total)

ival-pow: 11.0ms (14.2% of total)

ival-exp: 5.0ms (6.5% of total)

ival-sinh: 4.0ms (5.2% of total)

ival-cosh: 3.0ms (3.9% of total)

ival-e: 2.0ms (2.6% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series548.0ms (3%)

Memory

23.3MiB live, 855.1MiB allocated

Counts

18 → 420

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())
#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())
#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (patch (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #<representation binary32>) () ())
#s(alt (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (patch (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())
#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())
#s(alt #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (patch #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())
#s(alt (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (patch (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (patch (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))) (patch (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))) #<representation binary32>) () ())

Outputs
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt cosTheta_i (taylor -inf cosTheta_i) (#s(alt (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (patch (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt cosTheta_i (taylor -inf cosTheta_i) (#s(alt (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (patch (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))) #<representation binary32>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
103.0ms	cosTheta_O	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_i) -1) (/ 1 (* 2 (cosh (/ -1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ -1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v))))))
102.0ms	cosTheta_i	@	0	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_i) -1) (/ 1 (* 2 (cosh (/ -1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ -1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v))))))
62.0ms	sinTheta_i	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_i) -1) (/ 1 (* 2 (cosh (/ -1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ -1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v))))))
39.0ms	sinTheta_O	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_i) -1) (/ 1 (* 2 (cosh (/ -1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ -1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v))))))
38.0ms	cosTheta_O	@	0	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_i) -1) (/ 1 (* 2 (cosh (/ -1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ -1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v))))))

simplify165.0ms (0.9%)

Memory

-11.2MiB live, 303.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	6803
1	1870	6338
2	6661	6215
0	8435	6170

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 408

Calls

Call 1

Inputs
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* 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)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(/ (* 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 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -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))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(/ (* 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))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -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))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(/ (* 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))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* 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))))))
(/ (* 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 (* 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 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ 1 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ 1 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ 1 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 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)))))
(* 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)))))
(* 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)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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)))))
(exp (* 2 (/ (log (E)) v)))
(exp (* 2 (/ (log (E)) v)))
(exp (* 2 (/ (log (E)) v)))
(exp (* 2 (/ (log (E)) v)))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 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)))))
(/ (* v (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (* v (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (* v (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (* v (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* 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)
(/ (+ (* -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)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
1/2
(- 1/2 (* 1/4 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 5/48 (pow v 4))) (* 1/4 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 5/48 (pow v 4))) (+ (* 1/4 (/ 1 (pow v 2))) (* 61/1440 (/ 1 (pow v 6)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (+ (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (+ 2 (* 2 (log (E)))) 2)) (+ (/ (* (+ 4/3 (* 4/3 (pow (log (E)) 3))) (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2)))) (+ 2 (* 2 (log (E))))) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E)))))))) (+ 2 (* 2 (log (E)))))))) (pow v 3)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
1
(+ 1 (* 2 (/ (log (E)) v)))
(+ 1 (+ (* 2 (/ (log (E)) v)) (* 2 (/ (pow (log (E)) 2) (pow v 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log (E)) 3) (pow v 3))) (+ (* 2 (/ (log (E)) v)) (* 2 (/ (pow (log (E)) 2) (pow v 2))))))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
1
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(* 1/2 (+ 2 (* 2 (log (E)))))
(+ (* 1/2 (+ 2 (* 2 (log (E))))) (* 1/2 (/ (- (* 2 (pow (log (E)) 2)) 2) v)))
(+ (* 1/2 (+ 2 (* 2 (log (E))))) (+ (* 1/2 (/ (- (* 2 (pow (log (E)) 2)) 2) v)) (* 1/2 (/ (- (+ 4/3 (* 4/3 (pow (log (E)) 3))) (* 1/2 (+ 2 (* 2 (log (E)))))) (pow v 2)))))
(+ (* 1/2 (+ 2 (* 2 (log (E))))) (+ (* 1/2 (/ (- (* 2/3 (pow (log (E)) 4)) (+ 2/3 (* 1/2 (- (* 2 (pow (log (E)) 2)) 2)))) (pow v 3))) (+ (* 1/2 (/ (- (* 2 (pow (log (E)) 2)) 2) v)) (* 1/2 (/ (- (+ 4/3 (* 4/3 (pow (log (E)) 3))) (* 1/2 (+ 2 (* 2 (log (E)))))) (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) 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))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
1/2
(- 1/2 (* 1/4 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 5/48 (pow v 4))) (* 1/4 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 5/48 (pow v 4))) (+ (* 1/4 (/ 1 (pow v 2))) (* 61/1440 (/ 1 (pow v 6)))))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
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cosTheta_i
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cosTheta_i
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(/ (* 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))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))

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

rewrite186.0ms (1%)

Memory

15.9MiB live, 372.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	174
0	78	157
1	257	139
2	1516	129
0	8967	129

Stop Event

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

Counts

18 → 951

Calls

Call 1

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

Outputs
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eval272.0ms (1.5%)

Memory: 5.5MiB live, 555.1MiB allocated
Compiler: Compiled 73 748 to 4 079 computations (94.5% saved)

prune233.0ms (1.3%)

Memory

18.5MiB live, 366.1MiB allocated

Pruning

74 alts after pruning (71 fresh and 3 done)

	Pruned	Kept	Total
New	2 412	57	2 469
Fresh	21	14	35
Picked	3	2	5
Done	0	1	1
Total	2 436	74	2 510

Accuracy

100.0%

Counts

2 510 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
	98.6%	(/.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 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v #s(literal 1/2 binary32))))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))))))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	74.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) #s(literal 1 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
▶	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	96.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
▶	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	91.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 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))
	57.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
	98.3%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	96.5%	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
	98.6%	(.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	89.4%	(exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	45.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
▶	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
	51.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 4 028 to 3 240 computations (19.6% saved)

simplify173.0ms (1%)

Memory

-0.5MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
cost-diff	512	(.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	32	(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))
cost-diff	128	(.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))
cost-diff	448	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.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) v)
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	590
0	119	580
1	262	539
2	1001	527
3	5743	527
0	8623	527

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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v)
(.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) 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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) 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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))
#s(literal 0 binary32)
(.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))
(neg.f32 v)
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(neg.f32 cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 (neg.f32 v) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #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 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (*.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 v #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(cosh.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) 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 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v)))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))
(.f32 (.f32 cosTheta_O v) (neg.f32 cosTheta_i))
#s(literal 0 binary32)
(.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))
(.f32 (.f32 cosTheta_i cosTheta_O) v)
(neg.f32 v)
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(neg.f32 cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 (neg.f32 v) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
(*.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 v #s(literal 2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 v #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(cosh.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)

localize247.0ms (1.4%)

Memory

-6.7MiB live, 318.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.32650375976844204	(.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
accuracy	0.8112504528742007	(cosh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.2325927154236045	(sinh.f32 (/.f32 #s(literal 2 binary32) v))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.4797612859810507	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.265625	(.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v)
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.37337875976844204	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
accuracy	20.717403221533015	#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
accuracy	0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.046875	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
accuracy	0.27625262416728735	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	13.914267325538095	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.30876015578794114	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.32421875	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

162.0ms

256×

valid

Compiler

Compiled 1 081 to 118 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 43.0ms (33.9% of total)

ival-mult: 31.0ms (24.4% of total)

ival-sub: 22.0ms (17.3% of total)

ival-pow: 9.0ms (7.1% of total)

ival-exp: 5.0ms (3.9% of total)

ival-cosh: 4.0ms (3.2% of total)

const: 4.0ms (3.2% of total)

ival-sinh: 4.0ms (3.2% of total)

ival-neg: 3.0ms (2.4% of total)

ival-e: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series309.0ms (1.7%)

Memory

18.8MiB live, 606.7MiB allocated

Counts

21 → 564

Calls

Call 1

Inputs
#s(alt (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (patch (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())
#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())
#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())
#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())
#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (patch (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())
#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) (patch #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (patch (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())
#s(alt (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (patch (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #<representation binary32>) () ())

Outputs
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_i) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (patch (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 cosTheta_i cosTheta_O) v) (patch (/.f32 (.f32 cosTheta_i cosTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O cosTheta_i) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_i cosTheta_O) (patch (.f32 cosTheta_i cosTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor 0 sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (* sinTheta_O sinTheta_i) (taylor -inf sinTheta_O) (#s(alt (.f32 sinTheta_i sinTheta_O) (patch (.f32 sinTheta_i sinTheta_O) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) #<representation binary32>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
38.0ms	sinTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 2 v)) (cosh (/ -1 v)))
33.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 2 v)) (cosh (/ -1 v)))
30.0ms	cosTheta_O	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 2 v)) (cosh (/ -1 v)))
29.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 2 v)) (cosh (/ -1 v)))
26.0ms	sinTheta_O	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (sinh (/ 1 v)) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 2 v)) (cosh (/ -1 v)))

simplify199.0ms (1.1%)

Memory

18.4MiB live, 244.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	8335
1	1498	7876
2	5916	7751
0	9019	7702

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

rewrite198.0ms (1.1%)

Memory

-38.2MiB live, 289.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	222
0	109	213
1	368	187
2	2628	181
0	8190	179

Stop Event

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

Counts

21 → 785

Calls

Call 1

Inputs
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
(.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))
(.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(sinh.f32 (/.f32 #s(literal 2 binary32) v))
(cosh.f32 (/.f32 #s(literal -1 binary32) v))

Outputs
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eval197.0ms (1.1%)

Memory: 24.7MiB live, 482.0MiB allocated
Compiler: Compiled 63 089 to 3 416 computations (94.6% saved)

prune272.0ms (1.5%)

Memory

10.1MiB live, 542.3MiB allocated

Pruning

97 alts after pruning (93 fresh and 4 done)

	Pruned	Kept	Total
New	2 018	45	2 063
Fresh	18	48	66
Picked	4	1	5
Done	0	3	3
Total	2 040	97	2 137

Accuracy

100.0%

Counts

2 137 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.3%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
▶	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	29.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 2 binary32))) (neg.f32 (pow.f32 v #s(literal -2 binary32)))) (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 1/2 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
	98.6%	(/.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 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(/.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 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 1/2 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	74.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) #s(literal 1 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	75.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	61.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (/.f32 v (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
✓	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	91.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 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))
	98.3%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
	89.4%	(exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
	52.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
	53.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	45.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
	45.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
	57.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
	57.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	57.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
▶	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 5 382 to 4 297 computations (20.2% saved)

simplify113.0ms (0.6%)

Memory

-0.3MiB live, 110.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
cost-diff	224	(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	128	(.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i))
cost-diff	320	(/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (*.f32 v v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
cost-diff	32	(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))
cost-diff	128	(.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))
cost-diff	448	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cost-diff	0	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	585
0	125	559
1	281	509
2	1108	498
3	5627	498
0	8091	498

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

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

localize219.0ms (1.2%)

Memory

3.7MiB live, 362.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30078125	(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)
accuracy	0.30876015578794114	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.7899643075046041	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.7912218391252579	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.4797612859810507	(/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (*.f32 v v))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.37337875976844204	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
accuracy	0.4797612859810507	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (neg.f32 v) v))
accuracy	20.627814504042693	#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))
accuracy	0	(/.f32 cosTheta_i v)
accuracy	0.046875	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
accuracy	0.09375	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
accuracy	13.914267325538095	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
accuracy	0.21484375	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
accuracy	0.2614250488422101	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.32421875	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8163442270417401	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

149.0ms

256×

valid

Compiler

Compiled 1 095 to 129 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 41.0ms (33.8% of total)

ival-div: 36.0ms (29.7% of total)

ival-exp: 10.0ms (8.3% of total)

ival-pow: 9.0ms (7.4% of total)

ival-cosh: 7.0ms (5.8% of total)

const: 4.0ms (3.3% of total)

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

ival-add: 2.0ms (1.7% of total)

ival-e: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

ival-sinh: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series260.0ms (1.4%)

Memory

5.9MiB live, 486.7MiB allocated

Counts

23 → 636

Calls

Call 1

Inputs
#s(alt (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (patch (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())
#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())
#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())
#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())
#s(alt (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (patch (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())
#s(alt (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (patch (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (patch #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (patch (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) (patch (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -1 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -1 binary32) v)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal 1 binary32) v)) (patch (exp.f32 (/.f32 #s(literal 1 binary32) v)) #<representation binary32>) () ())
#s(alt (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (patch (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #<representation binary32>) () ())

Outputs
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_i) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_O) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_O) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_O) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_O) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_O) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
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#s(alt (/ cosTheta_i v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
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#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor 0 cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor 0 cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor 0 cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor 0 cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor 0 cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor 0 cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor 0 cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (patch (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf cosTheta_i) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (patch (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 cosTheta_O (/.f32 cosTheta_i v)) (patch (.f32 cosTheta_O (/.f32 cosTheta_i v)) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ cosTheta_i v) (taylor -inf cosTheta_i) (#s(alt (/.f32 cosTheta_i v) (patch (/.f32 cosTheta_i v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) (patch (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (patch (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta_O (* cosTheta_i v))) (taylor -inf cosTheta_i) (#s(alt (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (patch (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) (patch (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta_O (* cosTheta_i v)) (taylor -inf cosTheta_i) (#s(alt (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (patch (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) v) (taylor -inf cosTheta_i) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (patch (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor 0 sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (taylor 0 sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(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))))))) (taylor 0 sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* sinTheta_O sinTheta_i) v)) (taylor -inf sinTheta_O) (#s(alt (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (patch (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* sinTheta_O sinTheta_i) v) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 sinTheta_i sinTheta_O) v) (patch (/.f32 (.f32 sinTheta_i sinTheta_O) v) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))) (taylor -inf sinTheta_O) (#s(alt #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) (patch #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (taylor -inf sinTheta_O) (#s(alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) (patch (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (* v v)) (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (+ (* (exp (/ 1 v)) v) (* (neg (exp (/ -1 v))) v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ 1/3 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (* (exp (/ 1 v)) v))
29.0ms	cosTheta_O	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (* v v)) (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (+ (* (exp (/ 1 v)) v) (* (neg (exp (/ -1 v))) v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ 1/3 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (* (exp (/ 1 v)) v))
24.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (* v v)) (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (+ (* (exp (/ 1 v)) v) (* (neg (exp (/ -1 v))) v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ 1/3 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (* (exp (/ 1 v)) v))
22.0ms	cosTheta_O	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (* v v)) (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (+ (* (exp (/ 1 v)) v) (* (neg (exp (/ -1 v))) v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ 1/3 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (* (exp (/ 1 v)) v))
21.0ms	sinTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (* (neg v) (* (neg cosTheta_i) cosTheta_O)) (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (* v v)) (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (+ (* (exp (/ 1 v)) v) (* (neg (exp (/ -1 v))) v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ 1/3 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (* (exp (/ 1 v)) v))

simplify209.0ms (1.2%)

Memory

11.7MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	7814
1	1601	7351
2	6174	7231
0	8161	7184

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 634

Calls

Call 1

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

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

rewrite159.0ms (0.9%)

Memory

8.3MiB live, 235.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	241
0	110	226
1	394	213
2	2712	203
0	8269	201

Stop Event

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

Counts

23 → 961

Calls

Call 1

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

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eval234.0ms (1.3%)

Memory: -0.2MiB live, 430.4MiB allocated
Compiler: Compiled 62 372 to 3 924 computations (93.7% saved)

prune269.0ms (1.5%)

Memory

10.3MiB live, 574.2MiB allocated

Pruning

121 alts after pruning (115 fresh and 6 done)

	Pruned	Kept	Total
New	1 981	54	2 035
Fresh	27	61	88
Picked	3	2	5
Done	0	4	4
Total	2 011	121	2 132

Accuracy

100.0%

Counts

2 132 → 121

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.3%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	6.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	7.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	6.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	56.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	29.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 2 binary32))) (neg.f32 (pow.f32 v #s(literal -2 binary32)))) (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 1/2 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
	98.6%	(/.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 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(/.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 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 1/2 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	74.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) #s(literal 1 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(approx (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (.f32 (.f32 cosTheta_i v) cosTheta_O)) (.f32 v v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (/.f32 v (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (-.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (.f32 v v) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
✓	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
	97.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) v) #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
✓	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	68.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	91.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 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))
	62.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.3%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
	89.4%	(exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	52.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
	53.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	45.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
	57.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
	57.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	57.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
✓	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
	56.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
	37.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
	50.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 8 848 to 3 502 computations (60.4% saved)

regimes474.0ms (2.6%)

Memory

16.6MiB live, 692.9MiB allocated

Counts

197 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 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 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (-.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (.f32 v v) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (exp.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))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 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 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 1/2 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 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 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32)))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))

Outputs

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

Calls

8 calls:

67.0ms	(*.f32 sinTheta_i sinTheta_O)
67.0ms	v
61.0ms	sinTheta_O
57.0ms	sinTheta_i
55.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes268.0ms (1.5%)

Memory

-23.7MiB live, 364.3MiB allocated

Counts

116 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) 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))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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))) (/.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 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.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))) (.f32 (/.f32 #s(literal 1 binary32) 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))) (/.f32 cosTheta_O (/.f32 v 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))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.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))) (/.f32 #s(approx (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (.f32 (.f32 cosTheta_i v) cosTheta_O)) (.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))) (/.f32 #s(literal 1 binary32) (/.f32 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))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.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))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.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))) (.f32 (neg.f32 v) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.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))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.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))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (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))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.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))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.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 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) 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))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.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))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (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))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) 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))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O 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))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O 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))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) 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 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))

Calls

8 calls:

42.0ms	sinTheta_i
37.0ms	cosTheta_O
32.0ms	sinTheta_O
31.0ms	cosTheta_i
30.0ms	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 33 to 56 computations (-69.7% saved)

regimes247.0ms (1.4%)

Memory

32.1MiB live, 309.7MiB allocated

Counts

103 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) 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))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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))) (/.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 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.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))) (.f32 (/.f32 #s(literal 1 binary32) 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))) (/.f32 cosTheta_O (/.f32 v 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))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.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))) (/.f32 #s(approx (* (* (neg v) cosTheta_O) (neg cosTheta_i)) (.f32 (.f32 cosTheta_i v) cosTheta_O)) (.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))) (/.f32 #s(literal 1 binary32) (/.f32 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))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.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))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.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))) (.f32 (neg.f32 v) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.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))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.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))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (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))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v 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 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

47.0ms	v
30.0ms	sinTheta_O
29.0ms	sinTheta_i
29.0ms	cosTheta_O
29.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes272.0ms (1.5%)

Memory

-50.4MiB live, 293.4MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) 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))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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))) (/.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 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

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

Calls

8 calls:

44.0ms	(*.f32 sinTheta_i sinTheta_O)
42.0ms	(*.f32 cosTheta_i cosTheta_O)
36.0ms	sinTheta_i
27.0ms	cosTheta_i
26.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`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 33 to 56 computations (-69.7% saved)

regimes201.0ms (1.1%)

Memory

17.1MiB live, 361.2MiB allocated

Counts

88 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.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_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

26.0ms	v
25.0ms	(*.f32 sinTheta_i sinTheta_O)
25.0ms	(*.f32 cosTheta_i cosTheta_O)
24.0ms	sinTheta_i
24.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes206.0ms (1.1%)

Memory

1.0MiB live, 320.4MiB allocated

Counts

87 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Outputs

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

Calls

8 calls:

32.0ms	(*.f32 sinTheta_i sinTheta_O)
30.0ms	cosTheta_O
25.0ms	v
24.0ms	cosTheta_i
24.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`sinTheta_O`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
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 33 to 56 computations (-69.7% saved)

regimes246.0ms (1.4%)

Memory

22.3MiB live, 337.4MiB allocated

Counts

85 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))

Outputs

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

Calls

8 calls:

66.0ms	cosTheta_i
29.0ms	sinTheta_i
26.0ms	(*.f32 cosTheta_i cosTheta_O)
26.0ms	cosTheta_O
25.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes312.0ms (1.7%)

Memory

3.4MiB live, 214.7MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

59.0ms	cosTheta_i
55.0ms	(*.f32 cosTheta_i cosTheta_O)
52.0ms	sinTheta_i
42.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes500.0ms (2.8%)

Memory

10.0MiB live, 200.0MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

152.0ms	(*.f32 sinTheta_i sinTheta_O)
116.0ms	sinTheta_O
65.0ms	sinTheta_i
59.0ms	cosTheta_O
47.0ms	v

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes717.0ms (4%)

Memory

3.7MiB live, 197.2MiB allocated

Counts

78 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/6 binary32) v))) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

252.0ms	(*.f32 sinTheta_i sinTheta_O)
236.0ms	(*.f32 cosTheta_i cosTheta_O)
77.0ms	sinTheta_O
56.0ms	v
34.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes299.0ms (1.7%)

Memory

-3.2MiB live, 236.1MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal 2 binary32))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))

Outputs

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

Calls

8 calls:

75.0ms	cosTheta_i
39.0ms	(*.f32 sinTheta_i sinTheta_O)
39.0ms	sinTheta_i
35.0ms	sinTheta_O
35.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`v`
62.4%	1	`cosTheta_O`
62.4%	1	`sinTheta_i`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes617.0ms (3.4%)

Memory

-194.2MiB live, 145.8MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (.f32 (neg.f32 v) (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (.f32 cosTheta_O (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) v) (/.f32 cosTheta_O v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) v) v) (.f32 (neg.f32 v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (.f32 (neg.f32 v) cosTheta_O) v) (neg.f32 cosTheta_i)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) #s(literal 0 binary32))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

269.0ms	cosTheta_i
133.0ms	(/.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))
89.0ms	v
53.0ms	cosTheta_O
18.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`v`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`sinTheta_i`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.4%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes232.0ms (1.3%)

Memory

6.5MiB live, 323.2MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (neg.f32 cosTheta_i)) cosTheta_O) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

122.0ms	cosTheta_O
18.0ms	cosTheta_i
17.0ms	sinTheta_i
16.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
15.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`v`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`sinTheta_O`
62.4%	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))`
62.4%	1	`sinTheta_i`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.4%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes127.0ms (0.7%)

Memory

-5.5MiB live, 273.8MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

23.0ms	cosTheta_i
19.0ms	cosTheta_O
14.0ms	v
14.0ms	sinTheta_i
14.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
62.4%	1	`v`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`cosTheta_O`
62.4%	1	`sinTheta_O`
62.4%	1	`cosTheta_i`
62.4%	1	`sinTheta_i`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes114.0ms (0.6%)

Memory

18.3MiB live, 252.5MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

16.0ms	(*.f32 sinTheta_i sinTheta_O)
15.0ms	(/.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))
14.0ms	v
14.0ms	sinTheta_i
14.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`v`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`cosTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`sinTheta_i`
62.4%	1	`cosTheta_O`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes131.0ms (0.7%)

Memory

-7.2MiB live, 222.7MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( 2 v) (/ -1 (sinh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Calls

8 calls:

35.0ms	cosTheta_i
17.0ms	cosTheta_O
14.0ms	sinTheta_i
13.0ms	(/.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))
13.0ms	v

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`v`
62.4%	1	`sinTheta_O`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`cosTheta_O`
62.4%	1	`sinTheta_i`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.4%	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))`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes144.0ms (0.8%)

Memory

48.1MiB live, 233.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

36.0ms	(*.f32 sinTheta_i sinTheta_O)
25.0ms	cosTheta_O
17.0ms	v
16.0ms	sinTheta_O
15.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`cosTheta_O`
62.4%	1	`sinTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`v`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes96.0ms (0.5%)

Memory

-25.4MiB live, 246.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) v) v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))

Outputs

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

Calls

8 calls:

13.0ms	sinTheta_O
12.0ms	sinTheta_i
12.0ms	cosTheta_i
11.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
57.3%	1	`v`
57.3%	1	`cosTheta_i`
57.3%	1	`sinTheta_i`
57.3%	1	`sinTheta_O`
57.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.3%	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))`
57.3%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes76.0ms (0.4%)

Memory

-12.5MiB live, 290.6MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) cosTheta_i)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (fma.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (/.f32 cosTheta_i #s(literal 4 binary32)) cosTheta_O (fma.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal -4 binary32)) v) (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal 4 binary32)) (.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (/ (* v 1/2) (cosh (/ -1 v))) (* 2 (sinh (/ 2 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_i v) v)))) #s(literal 1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))

Outputs

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

Calls

8 calls:

14.0ms	(*.f32 sinTheta_i sinTheta_O)
10.0ms	cosTheta_O
9.0ms	cosTheta_i
9.0ms	sinTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
57.2%	1	`v`
57.2%	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))`
57.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.2%	1	`sinTheta_i`
57.2%	1	`sinTheta_O`
57.2%	1	`cosTheta_i`
57.2%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes63.0ms (0.4%)

Memory

-3.9MiB live, 76.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

37.0ms	v
4.0ms	(*.f32 cosTheta_i cosTheta_O)
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.0%	1	`cosTheta_i`
57.0%	1	`v`
57.0%	1	`cosTheta_O`
57.0%	1	`sinTheta_O`
57.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.0%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.2%)

Memory

5.9MiB live, 44.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.5%	1	`cosTheta_i`
56.5%	1	`v`
56.5%	1	`cosTheta_O`
56.5%	1	`sinTheta_O`
56.5%	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))`
56.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.5%	1	`sinTheta_i`
56.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes13.0ms (0.1%)

Memory

-10.1MiB live, 27.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

4.0ms	v
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	cosTheta_i
1.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
56.5%	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))`
56.5%	1	`v`
56.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.5%	1	`cosTheta_i`
56.5%	1	`sinTheta_i`
56.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.5%	1	`cosTheta_O`
56.5%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify122.0ms (0.7%)

Memory

5.3MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	813
1	247	809
2	359	801
3	582	798
4	984	798
5	1602	798
6	2212	798
7	2648	798
8	2902	798
9	3003	798
10	3061	798
11	3066	798
12	3067	798
13	3067	798
14	3099	798
15	3112	798
16	3116	798

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.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))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_i) cosTheta_O) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (/.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 v v))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O v) cosTheta_i) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) v))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 v)) (/.f32 cosTheta_O (.f32 v v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 v v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 v (.f32 (neg.f32 v) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (/.f32 v (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(approx (/ (- 0 (* (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (/ (- 0 ( (neg v) (* (neg cosTheta_i) cosTheta_O))) (* (neg v) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (/ 1 (* 2 (cosh (/ -1 v)))))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))

soundness1.8s (10.1%)

Memory

4.7MiB live, 1 724.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	924
1	152	916
2	351	913
3	791	912
4	1800	912
5	4791	912
6	7186	912
0	8092	912
0	479	7814
1	1601	7351
2	6174	7231
0	8161	7184
0	536	6803
1	1870	6338
2	6661	6215
0	8435	6170
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31
0	74	241
0	110	226
1	394	213
2	2712	203
0	8269	201
0	450	8335
1	1498	7876
2	5916	7751
0	9019	7702
0	72	222
0	109	213
1	368	187
2	2628	181
0	8190	179
0	46	174
0	78	157
1	257	139
2	1516	129
0	8967	129

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

Compiler

Compiled 2 411 to 1 216 computations (49.6% saved)

preprocess1.0s (5.7%)

Memory

8.9MiB live, 1 958.5MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

Compiler

Compiled 7 918 to 5 296 computations (33.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze640.0ms (3.6%)

sample2.8s (15.3%)

explain273.0ms (1.5%)

preprocess308.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify166.0ms (0.9%)

localize124.0ms (0.7%)

series41.0ms (0.2%)

simplify122.0ms (0.7%)

rewrite186.0ms (1%)

eval98.0ms (0.5%)

prune130.0ms (0.7%)

simplify125.0ms (0.7%)

localize232.0ms (1.3%)

series548.0ms (3%)

simplify165.0ms (0.9%)

rewrite186.0ms (1%)

eval272.0ms (1.5%)

prune233.0ms (1.3%)

simplify173.0ms (1%)

localize247.0ms (1.4%)

series309.0ms (1.7%)

simplify199.0ms (1.1%)

rewrite198.0ms (1.1%)

eval197.0ms (1.1%)

prune272.0ms (1.5%)

simplify113.0ms (0.6%)

localize219.0ms (1.2%)

series260.0ms (1.4%)

simplify209.0ms (1.2%)

rewrite159.0ms (0.9%)

eval234.0ms (1.3%)

prune269.0ms (1.5%)

regimes474.0ms (2.6%)

regimes268.0ms (1.5%)

regimes247.0ms (1.4%)

regimes272.0ms (1.5%)

regimes201.0ms (1.1%)

regimes206.0ms (1.1%)

regimes246.0ms (1.4%)

regimes312.0ms (1.7%)

regimes500.0ms (2.8%)

regimes717.0ms (4%)

regimes299.0ms (1.7%)

regimes617.0ms (3.4%)

regimes232.0ms (1.3%)

regimes127.0ms (0.7%)

regimes114.0ms (0.6%)

regimes131.0ms (0.7%)

regimes144.0ms (0.8%)

regimes96.0ms (0.5%)

regimes76.0ms (0.4%)

regimes63.0ms (0.4%)

regimes27.0ms (0.2%)

regimes13.0ms (0.1%)

simplify122.0ms (0.7%)

soundness1.8s (10.1%)

preprocess1.0s (5.7%)

end0.0ms (0%)

Profiling