Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze740.0ms (4.6%)

Memory

-19.8MiB live, 1 016.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.6s (16%)

Memory

59.4MiB live, 3 286.2MiB allocated

Samples

1.9s

8 256×

valid

Precisions

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

ival-mult: 324.0ms (21.1% of total)

ival-div: 311.0ms (20.3% of total)

ival-<=: 282.0ms (18.4% of total)

const: 273.0ms (17.8% of total)

ival-exp: 97.0ms (6.3% of total)

ival-sinh: 88.0ms (5.7% of total)

ival-and: 61.0ms (4% of total)

ival-neg: 59.0ms (3.8% of total)

ival-<: 19.0ms (1.2% of total)

exact: 15.0ms (1% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain247.0ms (1.5%)

Memory

16.5MiB live, 267.8MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
1	(0.4669124186038971 -1.284636705408733e-33 -5.780258711181752e-17 4.9687032781008994e-30 0.2148885577917099)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	-	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	92

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

76.0ms

512×

valid

Compiler

Compiled 302 to 80 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 23.0ms (43.4% of total)

ival-div: 18.0ms (33.9% of total)

ival-sinh: 5.0ms (9.4% of total)

ival-exp: 4.0ms (7.5% of total)

ival-neg: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess275.0ms (1.7%)

Memory

-32.6MiB live, 163.3MiB 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	3044	21
5	3718	21
6	5458	21
0	8442	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.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)

simplify431.0ms (2.7%)

Memory

20.0MiB live, 101.9MiB 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	3044	90
5	3718	90
6	5458	90
0	8442	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)

localize257.0ms (1.6%)

Memory

6.7MiB live, 44.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21875	(/.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))
accuracy	0.2571550902313059	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2603975706944218	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

29.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

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

ival-mult: 7.0ms (37.1% of total)

ival-div: 6.0ms (31.8% of total)

ival-exp: 2.0ms (10.6% of total)

ival-sinh: 2.0ms (10.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series1.3s (8.3%)

Memory

-16.4MiB live, 57.6MiB allocated

Counts

6 → 25

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

Calls

15 calls:

Time	Variable		Point	Expression
1.1s	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)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
227.0ms	cosTheta_i	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
6.0ms	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)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
5.0ms	cosTheta_i	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
4.0ms	cosTheta_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)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))

simplify453.0ms (2.8%)

Memory

-169.5MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	809
1	590	770
2	2315	688
3	5731	685
0	8177	665

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite132.0ms (0.8%)

Memory

-17.8MiB live, 178.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	45
0	31	45
1	89	44
2	528	44
3	6818	44
0	8093	44

Stop Event

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

Counts

6 → 643

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

eval66.0ms (0.4%)

Memory: 23.3MiB live, 140.0MiB allocated
Compiler: Compiled 16 879 to 2 441 computations (85.5% saved)

prune50.0ms (0.3%)

Memory

1.1MiB live, 116.4MiB allocated

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	623	44	667
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	623	45	668

Accuracy

99.7%

Counts

668 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.6%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 #s(literal 2 binary32) v)))
	93.8%	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	97.7%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
	98.0%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) v) sinTheta_i #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))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v) #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))
	94.6%	(/.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))
	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 (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 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #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 (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 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))
	61.9%	(/.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 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	68.4%	(/.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 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) #s(literal 2 binary32)) v))
	55.9%	(/.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 #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 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)))) (.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 v) cosTheta_O)) (.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_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))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.9%	(/.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))
	98.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	93.8%	(.f32 (pow.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (*.f32 #s(literal 2 binary32) v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) #s(literal -1/2 binary32)))
	95.5%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v v)) (-.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 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
	98.5%	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.5%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i)) (/.f32 cosTheta_O v))
	98.0%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	98.3%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))))
▶	98.7%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	98.3%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
	48.7%	#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_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) 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 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (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)))))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	48.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	54.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (*.f32 cosTheta_O cosTheta_i))) v))
▶	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 2 556 to 2 003 computations (21.6% saved)

simplify99.0ms (0.6%)

Memory

18.2MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
cost-diff	160	(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
cost-diff	0	(/.f32 #s(literal 1 binary32) v)
cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i))
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))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	64	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	418
0	89	413
1	192	407
2	712	403
3	4061	402
4	5483	402
5	6428	402
0	8081	402

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (0.8%)

Memory

9.8MiB live, 203.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2603975706944218	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.36556625976844204	(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.22265625	(/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.22884750976844204	(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i))
accuracy	0.35395261551885926	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21875	(/.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))
accuracy	0.2571550902313059	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.29783883046286386	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2603975706944218	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	14.126049234684622	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
accuracy	0.2109375	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.23113251953688405	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.32259750976844204	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

101.0ms

256×

valid

Compiler

Compiled 830 to 105 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 26.0ms (37.3% of total)

ival-div: 20.0ms (28.7% of total)

ival-pow: 13.0ms (18.6% of total)

ival-exp: 6.0ms (8.6% of total)

ival-neg: 2.0ms (2.9% of total)

ival-sinh: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series280.0ms (1.7%)

Memory

1.6MiB live, 466.3MiB allocated

Counts

22 → 119

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
57.0ms	sinTheta_O	@	inf	((/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (/ 1/2 (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ 1 v) (* cosTheta_O cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))))
57.0ms	cosTheta_i	@	0	((/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (/ 1/2 (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ 1 v) (* cosTheta_O cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))))
24.0ms	sinTheta_O	@	-inf	((/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (/ 1/2 (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ 1 v) (* cosTheta_O cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))))
20.0ms	cosTheta_O	@	0	((/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (/ 1/2 (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ 1 v) (* cosTheta_O cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))))
17.0ms	cosTheta_O	@	-inf	((/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (/ 1/2 (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ 1 v) (* cosTheta_O cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))))

simplify173.0ms (1.1%)

Memory

-6.7MiB live, 224.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	4066
1	2409	3838
0	8491	3706

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

Calls

Call 1

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

Outputs
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_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 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) sinTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (neg.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 (neg.f32 sinTheta_O) (*.f32 v v))) sinTheta_i (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) (.f32 v v))) sinTheta_i (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (.f32 sinTheta_O (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(/ (* 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 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.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_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 -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (*.f32 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))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (.f32 v v)) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/3 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.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 (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.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 sinTheta_i #s(literal -1/2 binary32)) (fma.f32 (-.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (pow.f32 v #s(literal 4 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 5 binary32))) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))) (/.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))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (*.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v)) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_i (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/3 binary32) (/.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i)) sinTheta_i (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(fma.f32 (-.f32 (.f32 (.f32 sinTheta_O #s(literal 1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 sinTheta_i (.f32 v v))) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) (.f32 v v))) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (.f32 sinTheta_O (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* 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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.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 -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (.f32 v v)) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (/.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 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 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
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(/.f32 #s(literal 1/2 binary32) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
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(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v)
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(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
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(* 1/2 (* cosTheta_O (* cosTheta_i v)))
(.f32 (.f32 (*.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(* v (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))
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(* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
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(* 1/2 v)
(*.f32 #s(literal 1/2 binary32) v)
(* v (- 1/2 (* 1/12 (/ 1 (pow v 2)))))
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(* v (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))))
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2
#s(literal 2 binary32)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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v
(* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)
(* v (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
(.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) v)) v)
(* v (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
(.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (.f32 (.f32 sinTheta_O (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) sinTheta_i #s(literal 1 binary32)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 sinTheta_O #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/12 binary32)) (/.f32 (.f32 #s(literal 1/12 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O))) v)) v)) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v)
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal 1/2 binary32)) (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) sinTheta_i (.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v))) v))) v) #s(literal -1 binary32) #s(literal 1 binary32)) v)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) sinTheta_i (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O)))) v)) v)) v)) (neg.f32 v))
(* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(.f32 (neg.f32 v) (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))
(.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v))))
(* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
(.f32 (neg.f32 v) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/2160 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v)))))
(* -1 (* v (- (* 1/12 (/ 1 (pow v 2))) 1/2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) #s(literal 1/2 binary32)))
(* -1 (* v (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4))))))
(.f32 (neg.f32 v) (-.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))))
(* -1 (* v (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4))))))
(.f32 (neg.f32 v) (-.f32 (+.f32 (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32))))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) #s(literal -1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (+.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O))) v)) (neg.f32 v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) (.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32))) sinTheta_i (.f32 #s(literal 1/6 binary32) (fma.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) sinTheta_i) sinTheta_O)) v) #s(literal 1/2 binary32))) v)) v)) (neg.f32 v))
(* -1 (* v (- (/ (* sinTheta_O sinTheta_i) v) 1)))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (+.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) sinTheta_i (/.f32 (.f32 #s(literal 1/6 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal 1 binary32)))

rewrite150.0ms (0.9%)

Memory

16.2MiB live, 206.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	233
0	87	228
1	276	224
2	1725	223
3	7417	223
0	8095	223

Stop Event

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

Counts

22 → 1 151

Calls

Call 1

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

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

eval164.0ms (1%)

Memory: 17.0MiB live, 256.1MiB allocated
Compiler: Compiled 34 603 to 4 167 computations (88% saved)

prune93.0ms (0.6%)

Memory

-19.7MiB live, 178.0MiB allocated

Pruning

61 alts after pruning (59 fresh and 2 done)

	Pruned	Kept	Total
New	1 145	37	1 182
Fresh	17	22	39
Picked	3	2	5
Done	1	0	1
Total	1 166	61	1 227

Accuracy

99.8%

Counts

1 227 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
	97.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
	97.9%	(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) cosTheta_O) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
▶	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.0%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) v) sinTheta_i #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))
	97.6%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
	94.6%	(/.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))
	98.1%	(/.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))
	61.9%	(/.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 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	68.4%	(/.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 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)))) (.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_O v) cosTheta_i)) (.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.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 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal 2 binary32)) v))
	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 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (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))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.9%	(/.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))
	94.9%	(.f32 (pow.f32 (/.f32 (.f32 (.f32 v v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
	93.8%	(.f32 (pow.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (*.f32 #s(literal 2 binary32) v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) #s(literal -1/2 binary32)))
	93.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) cosTheta_i))
	95.5%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v v)) (-.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 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	97.1%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)) cosTheta_i)
	98.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
	98.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)) (/.f32 #s(literal 1 binary32) v)))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
	45.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) v))))
▶	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))))
	94.9%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	98.0%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal 1/2 binary32)) (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) v) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v) #s(literal -1/2 binary32))))
	98.6%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
▶	98.3%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1/2 binary32) v)))
	54.4%	#s(approx (/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)) (* v (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
	55.9%	#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 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	48.7%	#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_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	48.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	54.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (*.f32 cosTheta_O cosTheta_i))) v))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
▶	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))))

Compiler

Compiled 3 990 to 2 995 computations (24.9% saved)

simplify134.0ms (0.8%)

Memory

9.9MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
cost-diff	384	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cost-diff	160	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	3488	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
cost-diff	0	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))))
cost-diff	160	(fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v)))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
cost-diff	0	(/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
cost-diff	0	(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
cost-diff	0	(/.f32 #s(literal 1 binary32) v)
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	563
0	119	561
1	241	551
2	736	550
3	3271	535
4	5972	535
0	8122	525

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (1.4%)

Memory

-1.8MiB live, 233.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20378876953688405	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
accuracy	0.2265625	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.234375	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal 2 binary32) v))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.29296875	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.30859375	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.7625429020154912	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.7903980235686224	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.30078125	(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v)
accuracy	0.30859375	(/.f32 #s(literal 1/6 binary32) v)
accuracy	0.33834507009676495	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))
accuracy	25.481916616312795	#s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v)))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
accuracy	0.15625	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy	14.126049234684622	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
accuracy	0.15625	(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
accuracy	0.18359375	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.29496005861065205	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

159.0ms

256×

valid

Compiler

Compiled 1 051 to 150 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-div: 56.0ms (41.6% of total)

ival-mult: 32.0ms (23.8% of total)

const: 13.0ms (9.7% of total)

ival-pow: 11.0ms (8.2% of total)

ival-exp: 9.0ms (6.7% of total)

ival-sinh: 4.0ms (3% of total)

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

ival-add: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series308.0ms (1.9%)

Memory

11.6MiB live, 482.2MiB allocated

Counts

30 → 218

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
43.0ms	sinTheta_i	@	inf	((* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (sinh (/ 1 v)) (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (sinh (/ -1 v)) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (/ (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (neg v)))
25.0ms	cosTheta_O	@	0	((* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (sinh (/ 1 v)) (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (sinh (/ -1 v)) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (/ (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (neg v)))
24.0ms	cosTheta_O	@	-inf	((* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (sinh (/ 1 v)) (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (sinh (/ -1 v)) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (/ (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (neg v)))
23.0ms	cosTheta_i	@	0	((* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (sinh (/ 1 v)) (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (sinh (/ -1 v)) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (/ (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (neg v)))
23.0ms	cosTheta_O	@	inf	((* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (sinh (/ 1 v)) (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (sinh (/ -1 v)) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (/ (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* 2 v)) (sinh (/ -1 v))) (neg v)))

simplify213.0ms (1.3%)

Memory

37.0MiB live, 268.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1290	7948
1	4492	7784
0	9257	7557

Stop Event

1×	iter limit
1×	node limit

Counts

218 → 218

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 v v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))
(/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(-.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 5))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 5))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_i) (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_O (/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (/.f32 cosTheta_O v)))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (-.f32 (.f32 (neg.f32 sinTheta_i) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_i) (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_O (/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) sinTheta_i (neg.f32 (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))
(-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 sinTheta_i v)))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3)))))) (/ (* cosTheta_O sinTheta_O) (pow v 2)))) (/ cosTheta_O v))
(fma.f32 (-.f32 (.f32 (neg.f32 sinTheta_i) (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_O v))) sinTheta_i (/.f32 cosTheta_O v))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 4))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3)))))) (/ (* cosTheta_O sinTheta_O) (pow v 2)))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_i) (-.f32 (.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_O (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) sinTheta_i (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_O v)))) sinTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.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_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.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 (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_i (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1/6 binary32))) sinTheta_i (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) sinTheta_i (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ 1/6 v)
(/.f32 #s(literal 1/6 binary32) v)
(+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))
(fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))
(+ (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))) (* 1/6 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 #s(literal 1/6 binary32) v))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))) sinTheta_i (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
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(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (* 1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(-.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/3 binary32)) (.f32 sinTheta_O (/.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) v))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))))) sinTheta_i)) sinTheta_i) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) #s(literal -1/2 binary32) (/.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (+ (/ 1/6 (* (pow sinTheta_i 2) v)) (/ sinTheta_O sinTheta_i))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)) (/.f32 sinTheta_O sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(exp (/ (* sinTheta_O sinTheta_i) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_i 2) (- (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) (.f32 sinTheta_i v)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (- (/ 1 (pow sinTheta_i 2)) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (/ sinTheta_O (* sinTheta_i v))))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (/.f32 sinTheta_O sinTheta_i) v)))) (.f32 sinTheta_i sinTheta_i))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (/.f32 sinTheta_O sinTheta_i) v)) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (/.f32 sinTheta_O sinTheta_i) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 sinTheta_O) (* 1/6 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) v))))
(.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i v))) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_i)) (* -1 (/ sinTheta_O v))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_O v)) (* 1/6 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 v v) sinTheta_i))) sinTheta_i)) (.f32 sinTheta_i sinTheta_i))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (neg.f32 sinTheta_O) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 5))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 5))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (-.f32 (.f32 (neg.f32 sinTheta_O) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v))) sinTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) sinTheta_O (neg.f32 (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v)))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3)))))) (/ (* cosTheta_O sinTheta_i) (pow v 2)))) (/ cosTheta_O v))
(fma.f32 (-.f32 (.f32 (neg.f32 sinTheta_O) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_O v))) sinTheta_O (/.f32 cosTheta_O v))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3)))))) (/ (* cosTheta_O sinTheta_i) (pow v 2)))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (-.f32 (.f32 (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))) sinTheta_O (neg.f32 (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_O v)))) sinTheta_O (/.f32 cosTheta_O 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 (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1/6 binary32))) sinTheta_O (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) sinTheta_O (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))) (* 1/6 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal -1/2 binary32) sinTheta_i) sinTheta_O (/.f32 #s(literal 1/6 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))) sinTheta_O (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/3 binary32)) (.f32 sinTheta_i (/.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) v))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))))) sinTheta_O) (/.f32 (.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(fma.f32 (-.f32 (.f32 (neg.f32 sinTheta_O) (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v)) sinTheta_O (.f32 cosTheta_i cosTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32)) v))) (.f32 (/.f32 (neg.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))) sinTheta_O (.f32 cosTheta_i cosTheta_O))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_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 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 cosTheta_i (.f32 v v)) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/3 binary32)) (.f32 sinTheta_i (/.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))) sinTheta_O) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 sinTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (.f32 v v)) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1/3 binary32) (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) sinTheta_O)) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(- (+ 1 (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v)))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v)) (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))
(+ (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))) (* 1/6 (/ 1 (pow v 2))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) sinTheta_O (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) sinTheta_O (.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v)))) sinTheta_O (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/3 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)) v))) sinTheta_O (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32)))) sinTheta_O (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v))) sinTheta_O (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i (.f32 v v)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))))) (* 1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(-.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/3 binary32)) (.f32 sinTheta_i (/.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) v))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))))))) sinTheta_O)) sinTheta_O) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (+ (/ 1/6 (* (pow sinTheta_O 2) v)) (/ sinTheta_i sinTheta_O))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_i sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (- (* -1 (/ sinTheta_i (* sinTheta_O v))) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (-.f32 (/.f32 (neg.f32 sinTheta_i) (.f32 sinTheta_O v)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (- (/ 1 (pow sinTheta_O 2)) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (/ sinTheta_i (* sinTheta_O v))))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_O)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (/.f32 sinTheta_i sinTheta_O) v)))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (/.f32 sinTheta_i sinTheta_O) v)) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (/.f32 sinTheta_i sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 sinTheta_i) (* 1/6 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) v))))
(.f32 (-.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_O v))) sinTheta_O)) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_O)) (* -1 (/ sinTheta_i v))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_i v)) (* 1/6 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (/.f32 (-.f32 (/.f32 (neg.f32 sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 v v) sinTheta_O))) sinTheta_O)) (.f32 sinTheta_O sinTheta_O))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v)
(/ (+ 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v)))) v)
(/.f32 (+.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 (*.f32 sinTheta_i v) sinTheta_O)) v)
(- (exp (/ 1 v)) (exp (/ -1 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v)))
(/ (- (* -1 (* sinTheta_O (* sinTheta_i v))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (-.f32 (fma.f32 (neg.f32 sinTheta_O) (.f32 sinTheta_i v) #s(literal -1/6 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (.f32 v v))
(/ (- (* v (- v (* sinTheta_O sinTheta_i))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (-.f32 (fma.f32 (-.f32 v (.f32 sinTheta_i sinTheta_O)) v #s(literal -1/6 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (.f32 v v))
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))
(/ (+ 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v)))) (pow v 2))
(/.f32 (+.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 (.f32 sinTheta_i v) sinTheta_O)) (.f32 v v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 v v))
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (pow v 2))
(/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (.f32 v v))
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) (pow v 2))
(/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))))) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (fma.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))))) (*.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)
(/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))))) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (fma.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(/ (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v)
(/.f32 (-.f32 (-.f32 cosTheta_O (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) (.f32 v v))) (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(/ (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v)
(/.f32 (-.f32 (-.f32 cosTheta_O (/.f32 (-.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_O) (pow.f32 sinTheta_i #s(literal 3 binary32))) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)))))) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v))))
(fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v)))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(* -1/2 (* cosTheta_O cosTheta_i))
(.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) cosTheta_i)) v)) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v))) (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) v) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) v) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) v))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) v) #s(literal -1 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 v v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(neg.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 cosTheta_i cosTheta_O)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v))) v))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) v))) v)))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v))) v))
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(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(neg.f32 (/.f32 (-.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v))) v))
(/.f32 (neg.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v))) v)
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v))) v))
(/.f32 (neg.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (-.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))))) v)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (*.f32 sinTheta_i sinTheta_i))) v))) v))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32))) v)) v))) v)
(+ (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* sinTheta_O sinTheta_i))
(-.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal -1 binary32) #s(literal 2 binary32)) v)
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)))) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
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(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
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(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i)))
(-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (* 1/2 (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i)))
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(+ (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v))) (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) v) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) v) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) v))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) v) #s(literal -1 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v)) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32) #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 (neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) cosTheta_i) cosTheta_O (fma.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) cosTheta_i))) (.f32 (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_i sinTheta_O (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))))) cosTheta_i) cosTheta_O))) v) #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) cosTheta_i))) #s(literal -1/2 binary32))) v)) v))) v)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) #s(literal -1 binary32) (fma.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)) v))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))
(* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v))
(/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v)
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1/2 binary32)) v) #s(literal -1 binary32) #s(literal -1 binary32)) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (fma.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) #s(literal -1 binary32)) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v))) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (pow.f32 sinTheta_i #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (pow.f32 sinTheta_i #s(literal 3 binary32))) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))))) v) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32))) v)) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) v))) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (* 1/2 (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) cosTheta_i) cosTheta_O (fma.f32 (.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) sinTheta_i) sinTheta_O (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 sinTheta_i sinTheta_O (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))))) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32))) v)) v))) v)

rewrite195.0ms (1.2%)

Memory

-9.3MiB live, 308.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	417
0	119	414
1	442	384
2	3461	383
0	9108	383

Stop Event

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

Counts

30 → 1 011

Calls

Call 1

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

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

eval196.0ms (1.2%)

Memory: -31.4MiB live, 332.7MiB allocated
Compiler: Compiled 51 707 to 5 823 computations (88.7% saved)

prune139.0ms (0.9%)

Memory

-14.6MiB live, 186.2MiB allocated

Pruning

72 alts after pruning (70 fresh and 2 done)

	Pruned	Kept	Total
New	1 135	42	1 177
Fresh	26	28	54
Picked	4	1	5
Done	1	1	2
Total	1 166	72	1 238

Accuracy

99.9%

Counts

1 238 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
	97.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
	98.1%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))) (neg.f32 v))
	98.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(approx ( (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (E.f32))) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.6%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 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 (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))
	61.9%	(/.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 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)))) (.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_O v) cosTheta_i)) (.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.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 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.9%	(/.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))
	98.2%	(/.f32 #s(approx (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (.f32 v v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(/.f32 #s(approx (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.5%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v v)) (-.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 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)) (/.f32 #s(literal 1 binary32) v)))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))))
▶	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
	54.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
	48.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))))
	48.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (*.f32 sinTheta_O sinTheta_O)))))
	94.9%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	98.0%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	98.4%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_i) cosTheta_O)
▶	98.4%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal 1/2 binary32)) (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
	97.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	97.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(approx (exp (/ 1 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	61.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v)))))
	97.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (E.f32))) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1/2 binary32) v)))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) v))))
	55.9%	#s(approx (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O)))) v))
	55.9%	#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 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	48.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
▶	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) cosTheta_i)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))))

Compiler

Compiled 5 246 to 3 952 computations (24.7% saved)

simplify124.0ms (0.8%)

Memory

9.5MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cost-diff	32	(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
cost-diff	192	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	3488	(-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
cost-diff	0	#s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
cost-diff	0	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) ( (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_O)
cost-diff	0	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_O) cosTheta_i)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
cost-diff	0	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))))
cost-diff	0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_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	96	(*.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))
cost-diff	128	(.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	606
0	121	605
1	240	601
2	732	592
3	3589	575
4	6586	562
0	8508	552

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

localize195.0ms (1.2%)

Memory

-4.5MiB live, 233.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29296875	(-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.30859375	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.7625429020154912	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.0068505429612788	(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
accuracy	0.26182663890516433	#s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
accuracy	0.28125	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) ( (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_O)
accuracy	0.3359375	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.30078125	(/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v)
accuracy	0.30859375	(/.f32 #s(literal 1/6 binary32) v)
accuracy	0.33834507009676495	(-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))
accuracy	25.481916616312795	#s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v)))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy	0.140625	(.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O))
accuracy	14.126049234684622	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
accuracy	0.21875	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.2571550902313059	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.29296875	(*.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

150.0ms

256×

valid

Compiler

Compiled 1 071 to 155 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 59.0ms (46.2% of total)

ival-mult: 34.0ms (26.6% of total)

ival-pow: 12.0ms (9.4% of total)

ival-exp: 7.0ms (5.5% of total)

const: 4.0ms (3.1% of total)

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

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

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

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

ival-sinh: 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)

series229.0ms (1.4%)

Memory

5.0MiB live, 272.3MiB allocated

Counts

28 → 143

Calls

Call 1

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

Outputs
(/ (* 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (/ cosTheta_O v))
(* 1/2 cosTheta_O)
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (* sinTheta_i (- (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (* 1/6 (/ 1 (pow v 2))))
(/ 1/6 (pow v 2))
(+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))
(+ (* sinTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))) (* 1/6 (/ 1 (pow v 2))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (- (/ 1 (pow sinTheta_i 2)) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (/ sinTheta_O (* sinTheta_i v))))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_i)) (* -1 (/ sinTheta_O v))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_O v)) (* 1/6 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(- (+ 1 (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v)))) (* 1/6 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))) (* 1/6 (/ 1 (pow v 2))))
(* (pow sinTheta_O 2) (- (* -1 (/ sinTheta_i (* sinTheta_O v))) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (- (/ 1 (pow sinTheta_O 2)) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (/ sinTheta_i (* sinTheta_O v))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_O)) (* -1 (/ sinTheta_i v))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_i v)) (* 1/6 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(- (exp (/ (log (E)) v)) (exp (/ -1 v)))
(/ 1 (* (pow v 2) (- (exp (/ (log (E)) v)) (exp (/ -1 v)))))
(exp (/ (log (E)) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (- (* -1 (* sinTheta_O (* sinTheta_i v))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ (- (* v (- v (* sinTheta_O sinTheta_i))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ 1/6 v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v)))) (pow v 2))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v)
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/ (+ 1 (log (E))) v)
(/ (- (+ 1 (+ (log (E)) (* 1/2 (/ (pow (log (E)) 2) v)))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (log (E)) (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 2))) (+ (* 1/2 (/ (pow (log (E)) 2) v)) (/ 1/6 (pow v 2)))))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (log (E)) (+ (* 1/24 (/ (pow (log (E)) 4) (pow v 3))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 2))) (+ (* 1/2 (/ (pow (log (E)) 2) v)) (/ 1/6 (pow v 2))))))) (+ (* 1/2 (/ 1 v)) (* 1/24 (/ 1 (pow v 3))))) v)
(/ 1 (* v (+ 1 (log (E)))))
(/ (- (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E))))) (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2))))) v)
(/ (- (+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1 (log (E))) 2))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow (+ 1 (log (E))) 2))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (+ 1 (log (E)))))) (pow v 2))) (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E)))))) (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2))))) v)
(/ (- (+ (/ 1/24 (* (pow v 3) (pow (+ 1 (log (E))) 2))) (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E)))))) (+ (* -1 (/ (* (+ (* 1/6 (/ 1 (pow (+ 1 (log (E))) 2))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow (+ 1 (log (E))) 2))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (+ 1 (log (E)))))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (* (pow v 3) (+ 1 (log (E)))))) (+ (* 1/24 (/ (pow (log (E)) 4) (* (pow v 3) (pow (+ 1 (log (E))) 2)))) (+ (* 1/6 (/ (pow (log (E)) 3) (* (pow v 2) (pow (+ 1 (log (E))) 2)))) (+ (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2)))) (+ (* 1/6 (/ 1 (* (pow v 2) (pow (+ 1 (log (E))) 2)))) (+ (/ (* (+ 1/6 (* 1/6 (pow (log (E)) 3))) (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2))))) (* (pow v 3) (+ 1 (log (E))))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (* (pow v 2) (+ 1 (log (E)))))))))))) v)
1
(+ 1 (/ (log (E)) v))
(+ 1 (+ (* 1/2 (/ (pow (log (E)) 2) (pow v 2))) (/ (log (E)) v)))
(+ 1 (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (log (E)) 2) (pow v 2))) (/ (log (E)) v))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2))))
(- (+ 1 (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))) (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(* -1 (/ (- (* -1 (log (E))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (* 1/2 (pow (log (E)) 2)) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (E)) 3)) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (E)) 4)) 1/24) v)) (* -1/6 (pow (log (E)) 3))) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(/ -1 (* v (- (* -1 (log (E))) 1)))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* 1/24 (/ (pow (log (E)) 4) (pow (- (* -1 (log (E))) 1) 2))) (+ (/ (* (- (* -1/6 (pow (log (E)) 3)) 1/6) (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2))))) (- (* -1 (log (E))) 1)) (/ (* (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1))))) v)) (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1/2 (/ (pow (log (E)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1 (/ (+ (* 1/6 (/ (pow (log (E)) 3) v)) (* 1/2 (pow (log (E)) 2))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	cosTheta_O	@	inf	((* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (* cosTheta_O (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) cosTheta_i) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (pow (E) (/ 1 v)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ -1 v)))
29.0ms	sinTheta_O	@	inf	((* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (* cosTheta_O (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) cosTheta_i) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (pow (E) (/ 1 v)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ -1 v)))
29.0ms	cosTheta_O	@	-inf	((* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (* cosTheta_O (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) cosTheta_i) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (pow (E) (/ 1 v)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ -1 v)))
23.0ms	cosTheta_i	@	-inf	((* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (* cosTheta_O (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) cosTheta_i) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (pow (E) (/ 1 v)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ -1 v)))
20.0ms	sinTheta_O	@	-inf	((* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (* cosTheta_O (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (* (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v))) (* (/ (* cosTheta_O cosTheta_i) v) 1/2) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) cosTheta_i) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (pow (E) (/ 1 v)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/ 1/6 v) (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ -1 v)))

simplify179.0ms (1.1%)

Memory

11.7MiB live, 242.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	838	3692
1	3030	3469
0	8689	3368

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 143

Calls

Call 1

Inputs
(/ (* 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (/ cosTheta_O v))
(* 1/2 cosTheta_O)
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (* sinTheta_i (- (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (* 1/6 (/ 1 (pow v 2))))
(/ 1/6 (pow v 2))
(+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))
(+ (* sinTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))) (* 1/6 (/ 1 (pow v 2))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (- (/ 1 (pow sinTheta_i 2)) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (/ sinTheta_O (* sinTheta_i v))))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_i)) (* -1 (/ sinTheta_O v))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_O v)) (* 1/6 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(- (+ 1 (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v)))) (* 1/6 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))) (* 1/6 (/ 1 (pow v 2))))
(* (pow sinTheta_O 2) (- (* -1 (/ sinTheta_i (* sinTheta_O v))) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (- (/ 1 (pow sinTheta_O 2)) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (/ sinTheta_i (* sinTheta_O v))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_i (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_O)) (* -1 (/ sinTheta_i v))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_i v)) (* 1/6 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
(- (exp (/ (log (E)) v)) (exp (/ -1 v)))
(/ 1 (* (pow v 2) (- (exp (/ (log (E)) v)) (exp (/ -1 v)))))
(exp (/ (log (E)) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (- (* -1 (* sinTheta_O (* sinTheta_i v))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ (- (* v (- v (* sinTheta_O sinTheta_i))) (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ 1/6 v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v)))) (pow v 2))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v)
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/ (+ 1 (log (E))) v)
(/ (- (+ 1 (+ (log (E)) (* 1/2 (/ (pow (log (E)) 2) v)))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (log (E)) (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 2))) (+ (* 1/2 (/ (pow (log (E)) 2) v)) (/ 1/6 (pow v 2)))))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (log (E)) (+ (* 1/24 (/ (pow (log (E)) 4) (pow v 3))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 2))) (+ (* 1/2 (/ (pow (log (E)) 2) v)) (/ 1/6 (pow v 2))))))) (+ (* 1/2 (/ 1 v)) (* 1/24 (/ 1 (pow v 3))))) v)
(/ 1 (* v (+ 1 (log (E)))))
(/ (- (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E))))) (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2))))) v)
(/ (- (+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1 (log (E))) 2))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow (+ 1 (log (E))) 2))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (+ 1 (log (E)))))) (pow v 2))) (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E)))))) (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2))))) v)
(/ (- (+ (/ 1/24 (* (pow v 3) (pow (+ 1 (log (E))) 2))) (+ (/ 1/2 (* v (pow (+ 1 (log (E))) 2))) (/ 1 (+ 1 (log (E)))))) (+ (* -1 (/ (* (+ (* 1/6 (/ 1 (pow (+ 1 (log (E))) 2))) (+ (* 1/6 (/ (pow (log (E)) 3) (pow (+ 1 (log (E))) 2))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (+ 1 (log (E)))))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (* (pow v 3) (+ 1 (log (E)))))) (+ (* 1/24 (/ (pow (log (E)) 4) (* (pow v 3) (pow (+ 1 (log (E))) 2)))) (+ (* 1/6 (/ (pow (log (E)) 3) (* (pow v 2) (pow (+ 1 (log (E))) 2)))) (+ (* 1/2 (/ (pow (log (E)) 2) (* v (pow (+ 1 (log (E))) 2)))) (+ (* 1/6 (/ 1 (* (pow v 2) (pow (+ 1 (log (E))) 2)))) (+ (/ (* (+ 1/6 (* 1/6 (pow (log (E)) 3))) (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2))))) (* (pow v 3) (+ 1 (log (E))))) (/ (* (- (* 1/2 (/ 1 (pow (+ 1 (log (E))) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (+ 1 (log (E))) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (* (pow v 2) (+ 1 (log (E)))))))))))) v)
1
(+ 1 (/ (log (E)) v))
(+ 1 (+ (* 1/2 (/ (pow (log (E)) 2) (pow v 2))) (/ (log (E)) v)))
(+ 1 (+ (* 1/6 (/ (pow (log (E)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (log (E)) 2) (pow v 2))) (/ (log (E)) v))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2))))
(- (+ 1 (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))) (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(* -1 (/ (- (* -1 (log (E))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (* 1/2 (pow (log (E)) 2)) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (E)) 3)) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (E)) 4)) 1/24) v)) (* -1/6 (pow (log (E)) 3))) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(/ -1 (* v (- (* -1 (log (E))) 1)))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* 1/24 (/ (pow (log (E)) 4) (pow (- (* -1 (log (E))) 1) 2))) (+ (/ (* (- (* -1/6 (pow (log (E)) 3)) 1/6) (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2))))) (- (* -1 (log (E))) 1)) (/ (* (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1))))) v)) (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1/2 (/ (pow (log (E)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1 (/ (+ (* 1/6 (/ (pow (log (E)) 3) v)) (* 1/2 (pow (log (E)) 2))) v))) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 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))))))
(/.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (/ cosTheta_O v))
(/.f32 (neg.f32 cosTheta_O) v)
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 sinTheta_O cosTheta_i)) (-.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 -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (*.f32 sinTheta_O cosTheta_i)) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.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 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) sinTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (neg.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_O v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/3 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(- 1 (* 1/6 (/ 1 (pow v 2))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))
(- (+ 1 (* sinTheta_i (- (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (* 1/6 (/ 1 (pow v 2))))
(fma.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) v)) (/.f32 sinTheta_O v)) sinTheta_i (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ (* sinTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))) (* 1/6 (/ 1 (pow v 2))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_i 2) (- (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (/.f32 sinTheta_O v) sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (- (/ 1 (pow sinTheta_i 2)) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (/ sinTheta_O (* sinTheta_i v))))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i sinTheta_i)) v) v))) (/.f32 (/.f32 sinTheta_O v) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(/.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) #s(literal -1/2 binary32)) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (/.f32 sinTheta_O v) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))) (+ (/ 1/6 (* (pow sinTheta_i 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i sinTheta_i)) v) v) (/.f32 (/.f32 sinTheta_O v) sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/6 (/ 1 (pow v 2)))) sinTheta_i)) (* -1 (/ sinTheta_O v))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ sinTheta_O v)) (* 1/6 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) sinTheta_i)) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.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 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 sinTheta_i cosTheta_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 -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (*.f32 sinTheta_i cosTheta_i)) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 5 binary32))) (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)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 (neg.f32 sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_O v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (/.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 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 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 #s(literal -2 binary32) sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(- (+ 1 (* sinTheta_O (- (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v)))) (* 1/6 (/ 1 (pow v 2))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v)) (/.f32 sinTheta_i v)) sinTheta_O (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))
(+ (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))) (* 1/6 (/ 1 (pow v 2))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) v) (/.f32 sinTheta_O v)) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(* (pow sinTheta_O 2) (- (* -1 (/ sinTheta_i (* sinTheta_O v))) (* -1/2 (/ (pow sinTheta_i 2) (pow v 2)))))
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(* (pow sinTheta_O 2) (- (/ 1 (pow sinTheta_O 2)) (+ (* -1/2 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (/ sinTheta_i (* sinTheta_O v))))))
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(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (-.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) cosTheta_O)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (*.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (-.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/12 binary32)) (/.f32 (.f32 #s(literal 1/12 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) v)) v)) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) #s(literal 1/2 binary32)) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (neg.f32 v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 v))
(* -1 (/ (- (* -1 (log (E))) 1) v))
(/.f32 #s(literal 2 binary32) v)
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (* 1/2 (pow (log (E)) 2)) 1/2) v))) 1) v))
(/.f32 #s(literal 2 binary32) v)
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (E)) 3)) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal -1 binary32) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (log (E))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (E)) 4)) 1/24) v)) (* -1/6 (pow (log (E)) 3))) 1/6) v)) (* 1/2 (pow (log (E)) 2))) 1/2) v))) 1) v))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal -1 binary32) #s(literal -2 binary32)) (neg.f32 v))
(/ -1 (* v (- (* -1 (log (E))) 1)))
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* 1/24 (/ (pow (log (E)) 4) (pow (- (* -1 (log (E))) 1) 2))) (+ (/ (* (- (* -1/6 (pow (log (E)) 3)) 1/6) (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2))))) (- (* -1 (log (E))) 1)) (/ (* (- (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1))))) v)) (* 1/6 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (+ (* -1/6 (/ (pow (log (E)) 3) (pow (- (* -1 (log (E))) 1) 2))) (/ (* (- (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) (- (* 1/2 (pow (log (E)) 2)) 1/2)) (- (* -1 (log (E))) 1)))) v)) (* 1/2 (/ 1 (pow (- (* -1 (log (E))) 1) 2)))) (* 1/2 (/ (pow (log (E)) 2) (pow (- (* -1 (log (E))) 1) 2)))) v)) (/ 1 (- (* -1 (log (E))) 1))) v))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1/2 (/ (pow (log (E)) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) v) #s(literal -1 binary32)) v))
(+ 1 (* -1 (/ (+ (* -1 (log (E))) (* -1 (/ (+ (* 1/6 (/ (pow (log (E)) 3) v)) (* 1/2 (pow (log (E)) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1/2 binary32)) v)) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) #s(literal -1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (+.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) v)) (neg.f32 v))) v))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v))
(* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (neg.f32 v))) v)
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v))

rewrite238.0ms (1.5%)

Memory

3.6MiB live, 297.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	447
0	121	434
1	428	409
2	3093	405
0	8626	397

Stop Event

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

Counts

28 → 657

Calls

Call 1

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

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

eval115.0ms (0.7%)

Memory: -15.2MiB live, 141.2MiB allocated
Compiler: Compiled 28 092 to 3 321 computations (88.2% saved)

prune199.0ms (1.2%)

Memory

12.2MiB live, 261.0MiB allocated

Pruning

103 alts after pruning (97 fresh and 6 done)

	Pruned	Kept	Total
New	626	47	673
Fresh	15	50	65
Picked	1	4	5
Done	0	2	2
Total	642	103	745

Accuracy

99.9%

Counts

745 → 103

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
	97.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
	98.1%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))) (neg.f32 v))
	98.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(approx ( (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (E.f32))) (.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	54.3%	(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v)))) 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 (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))
	61.9%	(/.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 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)))) (.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_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 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.9%	(/.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))
	54.3%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))) #s(literal 1/2 binary32))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	98.2%	(/.f32 #s(approx (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (.f32 v v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(/.f32 #s(approx (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.5%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v v)) (-.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 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)) (/.f32 #s(literal 1 binary32) v)))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (fma.f32 (neg.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v))) (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (fma.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32))))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (fma.f32 #s(literal -1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32))))
	55.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (fma.f32 sinTheta_i sinTheta_O (/.f32 #s(literal 1/6 binary32) v))) v))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6 binary32)))) v))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)))))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) #s(approx (+ ( (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v))))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v) v)))))
	54.3%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
	45.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (.f32 v v)))))
	45.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (/.f32 (fma.f32 (.f32 (neg.f32 sinTheta_O) v) sinTheta_i (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (*.f32 v v)))))
	54.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
	48.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)) #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) #s(approx (- 1 (/ (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) v)) (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O)) (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (*.f32 sinTheta_O sinTheta_O)))))
	54.4%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))) #s(literal 1/2 binary32)))
	94.9%	(.f32 (.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	98.0%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	55.9%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) cosTheta_O) cosTheta_i)
	55.9%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32)) (neg.f32 v))) cosTheta_O) cosTheta_i)
✓	98.4%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) cosTheta_O) cosTheta_i)
	61.9%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))) v)) cosTheta_O) cosTheta_i)
	98.5%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) cosTheta_O)
	98.4%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) v)) cosTheta_O) cosTheta_i)
	98.1%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) (.f32 v v))) cosTheta_O) cosTheta_i)
	98.4%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) cosTheta_i)
	98.0%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))) v)) cosTheta_O) cosTheta_i)
	54.3%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(approx (/ (/ 1/2 v) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v)))) v)) cosTheta_O) cosTheta_i)
	55.9%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(approx (/ (/ 1/2 v) (sinh (/ 1 v))) #s(literal 1/2 binary32)) v)) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) cosTheta_i)
	98.1%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) cosTheta_O) cosTheta_i)
	98.1%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) v))) cosTheta_O) cosTheta_i)
	98.5%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))) cosTheta_O) cosTheta_i)
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal 1/2 binary32)) (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))) #s(literal 1/2 binary32))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))))
	97.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	97.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.6%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (.f32 (pow.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 #s(literal 1/2 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	97.0%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (*.f32 (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 #s(literal 1/2 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(approx (pow (E) (/ 1 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	61.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(approx (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (+.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (/.f32 #s(literal 1/2 binary32) v)) v)))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(approx (- (pow (E) (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v)))))
	61.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (E.f32))) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal 1/2 binary32) v)))
	98.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))))
	98.3%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
	54.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (/ (/ 1 v) v) (- (pow (E) (/ 1 v)) (exp (/ -1 v)))) (/.f32 (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) #s(literal 1/2 binary32)) v))))
	55.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (/ (/ 1 v) v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
	55.9%	(.f32 #s(approx ( (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))) cosTheta_i)
	55.9%	(.f32 #s(approx ( (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v)) cosTheta_i)
	45.4%	(.f32 #s(approx ( (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))) cosTheta_i)
	54.3%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))) #s(literal 1/2 binary32))))
	54.3%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (.f32 #s(approx ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (sinh (/ 1 v))) (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) -1/2) (+ (* sinTheta_i sinTheta_O) (/ 1/6 v))) (/.f32 #s(literal 1/6 binary32) v)) v))) #s(literal 1/2 binary32))))
	55.9%	#s(approx (/ (* (/ 1 v) (* (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O)))) v))
	55.9%	#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 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	45.2%	#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 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))))) v))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (neg.f32 cosTheta_i)) (neg.f32 v)))
	48.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	56.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i)) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
✓	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	55.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i)))

Compiler

Compiled 10 520 to 4 012 computations (61.9% saved)

regimes396.0ms (2.5%)

Memory

17.8MiB live, 552.9MiB allocated

Counts

171 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

64.0ms	(*.f32 cosTheta_i cosTheta_O)
57.0ms	v
50.0ms	(*.f32 sinTheta_i sinTheta_O)
46.0ms	cosTheta_O
46.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes377.0ms (2.4%)

Memory

-13.3MiB live, 446.9MiB allocated

Counts

132 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

64.0ms	(*.f32 cosTheta_i cosTheta_O)
53.0ms	sinTheta_O
52.0ms	cosTheta_i
49.0ms	(*.f32 sinTheta_i sinTheta_O)
48.0ms	sinTheta_i

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)

regimes517.0ms (3.2%)

Memory

1.1MiB live, 590.8MiB allocated

Counts

131 → 1

Calls

Call 1

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

Calls

8 calls:

234.0ms	cosTheta_i
52.0ms	(*.f32 sinTheta_i sinTheta_O)
45.0ms	(*.f32 cosTheta_i cosTheta_O)
38.0ms	sinTheta_O
37.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes388.0ms (2.4%)

Memory

-4.2MiB live, 432.8MiB allocated

Counts

114 → 1

Calls

Call 1

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

Calls

8 calls:

89.0ms	(/.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))
69.0ms	cosTheta_i
56.0ms	v
45.0ms	sinTheta_i
32.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes269.0ms (1.7%)

Memory

-4.0MiB live, 232.6MiB allocated

Counts

90 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

53.0ms	v
45.0ms	sinTheta_i
44.0ms	(*.f32 cosTheta_i cosTheta_O)
29.0ms	(/.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))
28.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes269.0ms (1.7%)

Memory

9.0MiB live, 289.4MiB allocated

Counts

88 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

50.0ms	cosTheta_i
44.0ms	v
41.0ms	cosTheta_O
31.0ms	sinTheta_O
31.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes268.0ms (1.7%)

Memory

26.3MiB live, 380.0MiB allocated

Counts

84 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

76.0ms	cosTheta_i
38.0ms	(*.f32 sinTheta_i sinTheta_O)
34.0ms	(*.f32 cosTheta_i cosTheta_O)
27.0ms	v
24.0ms	sinTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes208.0ms (1.3%)

Memory

-7.4MiB live, 391.2MiB allocated

Counts

82 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

46.0ms	sinTheta_i
31.0ms	(*.f32 cosTheta_i cosTheta_O)
23.0ms	cosTheta_O
22.0ms	cosTheta_i
21.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes189.0ms (1.2%)

Memory

-17.5MiB live, 300.3MiB allocated

Counts

76 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

35.0ms	v
29.0ms	(*.f32 sinTheta_i sinTheta_O)
22.0ms	cosTheta_i
21.0ms	sinTheta_O
20.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.2%	1	`cosTheta_i`
98.2%	1	`cosTheta_O`
98.2%	1	`sinTheta_i`
98.2%	1	`sinTheta_O`
98.2%	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))`
98.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes206.0ms (1.3%)

Memory

6.9MiB live, 248.8MiB allocated

Counts

75 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

47.0ms	sinTheta_i
33.0ms	cosTheta_i
23.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	v
22.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_i`
98.1%	1	`sinTheta_O`
98.1%	1	`v`
98.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes236.0ms (1.5%)

Memory

-3.4MiB live, 272.4MiB allocated

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

48.0ms	sinTheta_i
40.0ms	(*.f32 sinTheta_i sinTheta_O)
37.0ms	(*.f32 cosTheta_i cosTheta_O)
26.0ms	sinTheta_O
19.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`sinTheta_i`
98.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_O`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes160.0ms (1%)

Memory

3.6MiB live, 322.6MiB allocated

Counts

72 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

26.0ms	sinTheta_i
21.0ms	v
19.0ms	sinTheta_O
19.0ms	(*.f32 sinTheta_i sinTheta_O)
19.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
61.9%	1	`sinTheta_i`
61.9%	1	`cosTheta_i`
61.9%	1	`cosTheta_O`
61.9%	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))`
61.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
61.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.9%	1	`sinTheta_O`
61.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes138.0ms (0.9%)

Memory

29.7MiB live, 261.1MiB allocated

Counts

67 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

18.0ms	sinTheta_O
18.0ms	cosTheta_i
18.0ms	sinTheta_i
17.0ms	v
17.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
61.9%	1	`v`
61.9%	1	`cosTheta_O`
61.9%	1	`sinTheta_O`
61.9%	1	`cosTheta_i`
61.9%	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))`
61.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.9%	1	`sinTheta_i`
61.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes114.0ms (0.7%)

Memory

3.5MiB live, 200.9MiB allocated

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.1%	1	`cosTheta_O`
56.1%	1	`v`
56.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
56.1%	1	`cosTheta_i`
56.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.1%	1	`sinTheta_i`
56.1%	1	`sinTheta_O`
56.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes53.0ms (0.3%)

Memory

6.5MiB live, 50.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
56.0%	1	`v`
56.0%	1	`cosTheta_i`
56.0%	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))`
56.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.0%	1	`sinTheta_i`
56.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.0%	1	`sinTheta_O`
56.0%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes44.0ms (0.3%)

Memory

0.6MiB live, 39.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

20.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	v
3.0ms	cosTheta_i
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
55.9%	1	`v`
55.9%	1	`cosTheta_i`
55.9%	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))`
55.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
55.9%	1	`sinTheta_i`
55.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.9%	1	`cosTheta_O`
55.9%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes29.0ms (0.2%)

Memory

-5.4MiB live, 33.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_i
2.0ms	v
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
55.9%	1	`v`
55.9%	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))`
55.9%	1	`cosTheta_i`
55.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.9%	1	`cosTheta_O`
55.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
55.9%	1	`sinTheta_O`
55.9%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes15.0ms (0.1%)

Memory

-15.3MiB live, 23.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

5.0ms	(/.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	v
1.0ms	cosTheta_i
1.0ms	cosTheta_O
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
55.9%	1	`cosTheta_O`
55.9%	1	`v`
55.9%	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))`
55.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
55.9%	1	`sinTheta_O`
55.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.9%	1	`cosTheta_i`
55.9%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify64.0ms (0.4%)

Memory

2.7MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	603
1	208	603
2	422	596
3	1232	596
4	3848	593
5	5550	593

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.6s (9.8%)

Memory

12.6MiB live, 1 135.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	417
0	119	414
1	442	384
2	3461	383
0	9108	383
0	722	4066
1	2409	3838
0	8491	3706
0	838	3692
1	3030	3469
0	8689	3368
0	19	45
0	31	45
1	89	44
2	528	44
3	6818	44
0	8093	44
0	54	233
0	87	228
1	276	224
2	1725	223
3	7417	223
0	8095	223
0	190	809
1	590	770
2	2315	688
3	5731	685
0	8177	665
0	1290	7948
1	4492	7784
0	9257	7557
0	82	447
0	121	434
1	428	409
2	3093	405
0	8626	397

Stop Event

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

Compiler

Compiled 1 591 to 942 computations (40.8% saved)

preprocess178.0ms (1.1%)

Memory

-6.7MiB live, 225.5MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 1 774 to 758 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze740.0ms (4.6%)

sample2.6s (16%)

explain247.0ms (1.5%)

preprocess275.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify431.0ms (2.7%)

localize257.0ms (1.6%)

series1.3s (8.3%)

simplify453.0ms (2.8%)

rewrite132.0ms (0.8%)

eval66.0ms (0.4%)

prune50.0ms (0.3%)

simplify99.0ms (0.6%)

localize134.0ms (0.8%)

series280.0ms (1.7%)

simplify173.0ms (1.1%)

rewrite150.0ms (0.9%)

eval164.0ms (1%)

prune93.0ms (0.6%)

simplify134.0ms (0.8%)

localize220.0ms (1.4%)

series308.0ms (1.9%)

simplify213.0ms (1.3%)

rewrite195.0ms (1.2%)

eval196.0ms (1.2%)

prune139.0ms (0.9%)

simplify124.0ms (0.8%)

localize195.0ms (1.2%)

series229.0ms (1.4%)

simplify179.0ms (1.1%)

rewrite238.0ms (1.5%)

eval115.0ms (0.7%)

prune199.0ms (1.2%)

regimes396.0ms (2.5%)

regimes377.0ms (2.4%)

regimes517.0ms (3.2%)

regimes388.0ms (2.4%)

regimes269.0ms (1.7%)

regimes269.0ms (1.7%)

regimes268.0ms (1.7%)

regimes208.0ms (1.3%)

regimes189.0ms (1.2%)

regimes206.0ms (1.3%)

regimes236.0ms (1.5%)

regimes160.0ms (1%)

regimes138.0ms (0.9%)

regimes114.0ms (0.7%)

regimes53.0ms (0.3%)

regimes44.0ms (0.3%)

regimes29.0ms (0.2%)

regimes15.0ms (0.1%)

simplify64.0ms (0.4%)

soundness1.6s (9.8%)

preprocess178.0ms (1.1%)

end0.0ms (0%)

Profiling