Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.2s (6.9%)

Memory

-69.7MiB live, 887.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.5s (14.8%)

Memory

43.1MiB live, 3 344.2MiB allocated

Samples

1.7s

8 256×

valid

Precisions

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

ival-mult: 311.0ms (22.9% of total)

const: 268.0ms (19.7% of total)

ival-<=: 261.0ms (19.2% of total)

ival-div: 222.0ms (16.3% of total)

ival-sinh: 96.0ms (7.1% of total)

ival-exp: 78.0ms (5.7% of total)

ival-and: 51.0ms (3.8% of total)

ival-neg: 36.0ms (2.7% of total)

ival-<: 18.0ms (1.3% of total)

exact: 15.0ms (1.1% of total)

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

Bogosity

explain352.0ms (2.1%)

Memory

8.7MiB live, 332.1MiB 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)`
95	(-9.945650760532997e-26 7.258836115186409e-17 1.123710831052449e-6 -5.52110009266471e-7 0.5457724332809448)	-	`(/.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))`
2	(3.967588568798419e-8 9.627339140852844e-33 2.8229143893086375e-22 1.6791624159761103e-17 0.12106255441904068)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(7.82274560372915e-21 -4.457817975728166e-19 0.008838106878101826 -0.0003611069987528026 0.26679620146751404)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.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))`	u/n	95	0
↳	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	underflow	91
↳	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	underflow	78
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	78
↳	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`	underflow	91
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	92
↳	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`	underflow	78
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	92
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	78

Confusion

	Predicted +	Predicted -
+	0	0
-	98	158

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	98	0	158

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	158
1	97
2	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

73.0ms

512×

valid

Compiler

Compiled 394 to 117 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 25.0ms (48.5% of total)

ival-mult: 15.0ms (29.1% of total)

ival-sinh: 5.0ms (9.7% of total)

ival-exp: 4.0ms (7.8% of total)

ival-neg: 2.0ms (3.9% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess180.0ms (1.1%)

Memory

5.7MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	535	441
2	2083	420
0	19	22
0	31	22
1	67	22
2	197	21
3	779	21
4	3042	21
5	3714	21
6	5454	21
0	8263	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify116.0ms (0.7%)

Memory

19.4MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	67	92
2	197	90
3	779	90
4	3042	90
5	3714	90
6	5454	90
0	8263	90

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.3%)

Memory

7.5MiB live, 83.9MiB 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

35.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (32% of total)

ival-div: 6.0ms (27.4% of total)

ival-sinh: 5.0ms (22.9% of total)

ival-exp: 2.0ms (9.1% of total)

ival-neg: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.3%)

Memory

-24.1MiB live, 94.5MiB 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
7.0ms	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)))
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)))
6.0ms	sinTheta_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)))
5.0ms	v	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (/ (* (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)))

simplify150.0ms (0.9%)

Memory

12.9MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	809
1	590	770
2	2286	688
3	5615	685
0	8335	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) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (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 cosTheta_O cosTheta_i) (/.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))) 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) (-.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)) v)

rewrite200.0ms (1.2%)

Memory

10.5MiB live, 168.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	45
0	31	45
1	89	44
2	528	44
3	6803	44
0	8045	44

Stop Event

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

Counts

6 → 642

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

eval78.0ms (0.5%)

Memory: 10.3MiB live, 160.3MiB allocated
Compiler: Compiled 16 885 to 2 437 computations (85.6% saved)

prune88.0ms (0.5%)

Memory

-26.0MiB live, 100.5MiB allocated

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	624	42	666
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	624	43	667

Accuracy

99.7%

Counts

667 → 43

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 (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))))
	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))
	98.1%	(.f32 (.f32 (.f32 (/.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)))) #s(literal 1/2 binary32)) (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 cosTheta_O cosTheta_i) (/.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))) 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 2 416 to 1 923 computations (20.4% saved)

simplify136.0ms (0.8%)

Memory

27.0MiB live, 143.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	(.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))))
cost-diff	64	(.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)))
cost-diff	352	(/.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))))
cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 #s(literal 2 binary32) v)))
cost-diff	0	(neg.f32 (fma.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v) #s(literal 0 binary32)))
cost-diff	32	(fma.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v) #s(literal 0 binary32))
cost-diff	128	(neg.f32 (neg.f32 sinTheta_i))
cost-diff	192	(/.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))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(.f32 (.f32 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)))))
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	61	446
0	100	428
1	213	428
2	680	421
3	3386	420
4	5819	420
0	8627	420

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

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

localize180.0ms (1.1%)

Memory

6.5MiB live, 319.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.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)))
accuracy	0.21484375	(.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))))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.6238205290607648	(/.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))))
accuracy	0.0078125	(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)
accuracy	0.21484375	(/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2706779744345552	(/.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)))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21875	(/.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))
accuracy	0.2603975706944218	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	28.607262409680946	(fma.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v) #s(literal 0 binary32))
accuracy	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

128.0ms

256×

valid

Compiler

Compiled 891 to 120 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 34.0ms (37.8% of total)

ival-div: 28.0ms (31.1% of total)

ival-pow: 13.0ms (14.4% of total)

ival-exp: 6.0ms (6.7% of total)

ival-neg: 5.0ms (5.6% of total)

ival-sinh: 2.0ms (2.2% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series343.0ms (2%)

Memory

-24.1MiB live, 464.5MiB allocated

Counts

21 → 114

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

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

Calls

15 calls:

Time	Variable		Point	Expression
65.0ms	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) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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) (/ (* (exp (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg (neg sinTheta_i)) (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0) (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0)) (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ -1 (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O)))) (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (* 2 v) (* (* 2 v) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))
51.0ms	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) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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) (/ (* (exp (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg (neg sinTheta_i)) (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0) (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0)) (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ -1 (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O)))) (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (* 2 v) (* (* 2 v) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))
51.0ms	sinTheta_i	@	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) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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) (/ (* (exp (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg (neg sinTheta_i)) (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0) (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0)) (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ -1 (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O)))) (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (* 2 v) (* (* 2 v) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))
25.0ms	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) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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) (/ (* (exp (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg (neg sinTheta_i)) (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0) (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0)) (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ -1 (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O)))) (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (* 2 v) (* (* 2 v) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))
23.0ms	cosTheta_i	@	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) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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) (/ (* (exp (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg (neg sinTheta_i)) (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0) (neg (+ (* (neg (neg sinTheta_i)) (/ sinTheta_O v)) 0)) (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 v))) (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ -1 (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O)))) (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (* 2 v) (* (* 2 v) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v))

simplify172.0ms (1%)

Memory

29.0MiB live, 255.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	770	4089
1	2641	3828
0	8211	3685

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 112

Calls

Call 1

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

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

rewrite211.0ms (1.2%)

Memory

-11.7MiB live, 180.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	257
0	100	245
1	339	239
2	2237	238
0	8643	238

Stop Event

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

Counts

21 → 1 403

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

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

eval183.0ms (1.1%)

Memory: -3.9MiB live, 235.4MiB allocated
Compiler: Compiled 30 486 to 3 848 computations (87.4% saved)

prune88.0ms (0.5%)

Memory

36.2MiB live, 195.6MiB allocated

Pruning

71 alts after pruning (70 fresh and 1 done)

	Pruned	Kept	Total
New	980	48	1 028
Fresh	15	22	37
Picked	4	1	5
Done	1	0	1
Total	1 000	71	1 071

Accuracy

99.8%

Counts

1 071 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
	93.7%	(/.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) v)) (.f32 (/.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 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))))
	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))
	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))
	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))
	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))
	89.1%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (*.f32 #s(literal 2 binary32) v)))
	93.8%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)) cosTheta_O))
	93.8%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	94.0%	(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	93.9%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 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))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	93.6%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.2%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	56.2%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	56.1%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
	93.5%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 (/.f32 (.f32 v v) cosTheta_O)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))))
	56.2%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O))))))
	94.9%	(.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.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 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) 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))))
	98.6%	(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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)))))
	98.4%	(.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 (/.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 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
	98.1%	(.f32 (.f32 (.f32 (/.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)))) #s(literal 1/2 binary32)) (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))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 (.f32 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.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)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.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_i) (/.f32 (neg.f32 sinTheta_O) 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))))
	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 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	54.1%	(.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 (.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)))
	98.4%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 #s(literal 2 binary32) v) v))))
	54.1%	#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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)))
	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)))))
	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 cosTheta_O cosTheta_i) (/.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))) 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)))
	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_O) (/.f32 v 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 (/.f32 v 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 (neg.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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (/.f32 #s(literal 1 binary32) 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 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 #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_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
▶	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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
	45.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
▶	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 4 724 to 3 578 computations (24.3% saved)

simplify123.0ms (0.7%)

Memory

1.8MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (neg.f32 sinTheta_i) v)
cost-diff	0	(exp.f32 sinTheta_O)
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 v)
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
cost-diff	0	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	3488	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #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))))
cost-diff	64	(-.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))
cost-diff	64	(/.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))
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	564
0	118	562
1	241	556
2	731	551
3	3063	545
4	4314	545
5	7416	545
0	8504	541

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

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

localize193.0ms (1.1%)

Memory

-8.4MiB live, 271.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16082001953688405	(/.f32 v (*.f32 cosTheta_O cosTheta_i))
accuracy	0.19140625	(.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.7681270054221123	(/.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)))))
accuracy	0.1875	(/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.29296875	(-.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 (.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)
accuracy	0.3125	(/.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)
accuracy	0.33834507009676495	(-.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))
accuracy	25.48762217638095	#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)))
accuracy	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

127.0ms

256×

valid

Compiler

Compiled 1 066 to 145 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 36.0ms (34.7% of total)

ival-div: 29.0ms (28% of total)

ival-pow: 14.0ms (13.5% of total)

ival-exp: 10.0ms (9.7% of total)

const: 4.0ms (3.9% of total)

ival-neg: 3.0ms (2.9% of total)

ival-add: 2.0ms (1.9% of total)

ival-sub: 2.0ms (1.9% of total)

ival-sinh: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

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

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

series232.0ms (1.4%)

Memory

17.9MiB live, 398.8MiB allocated

Counts

30 → 193

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

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

Calls

15 calls:

Time	Variable		Point	Expression
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) (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (- (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 v) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg 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)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v))))) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/ v (* cosTheta_O cosTheta_i)))
22.0ms	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) (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (- (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 v) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg 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)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v))))) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/ v (* cosTheta_O cosTheta_i)))
21.0ms	cosTheta_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) (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (- (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 v) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg 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)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v))))) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/ v (* cosTheta_O cosTheta_i)))
21.0ms	cosTheta_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) (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (- (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 v) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg 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)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v))))) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/ v (* cosTheta_O cosTheta_i)))
20.0ms	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) (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (- (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 v) (/ cosTheta_i v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg 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)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v))))) (* (/ v (* cosTheta_O cosTheta_i)) (* 2 (sinh (/ 1 v)))) (/ v (* cosTheta_O cosTheta_i)))

simplify187.0ms (1.1%)

Memory

-10.6MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1190	5871
1	3944	5686
0	8218	5498

Stop Event

1×	iter limit
1×	node limit

Counts

193 → 193

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

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

rewrite463.0ms (2.7%)

Memory

-200.6MiB live, 277.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	424
0	118	425
1	425	396
2	3176	394
0	8258	390

Stop Event

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

Counts

30 → 1 047

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

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

eval193.0ms (1.1%)

Memory: 34.5MiB live, 269.9MiB allocated
Compiler: Compiled 48 431 to 5 280 computations (89.1% saved)

prune163.0ms (1%)

Memory

-28.3MiB live, 219.6MiB allocated

Pruning

80 alts after pruning (78 fresh and 2 done)

	Pruned	Kept	Total
New	1 143	51	1 194
Fresh	38	27	65
Picked	4	1	5
Done	0	1	1
Total	1 185	80	1 265

Accuracy

99.9%

Counts

1 265 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.7%	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.5%	(/.f32 (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.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 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
	93.5%	(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	96.8%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (/.f32 v cosTheta_O))) #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) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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))))
	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))
	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))
	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))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.2%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	56.1%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
	93.8%	(.f32 (pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))) #s(literal -1/2 binary32)))
▶	98.6%	(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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)))))
	98.3%	(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) cosTheta_O) cosTheta_i)
	98.4%	(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
	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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) 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_i) (/.f32 (neg.f32 sinTheta_O) 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))))
	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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
	28.2%	(.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 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
	54.1%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
	29.3%	(.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(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
	55.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
	45.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (neg.f32 v))))
	45.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (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)))
	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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1 binary32) #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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (.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)))
	56.0%	#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_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 (neg.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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (/.f32 #s(literal 1 binary32) 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 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) 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 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 #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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
	45.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	97.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
	97.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.8%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
	61.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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))))
	55.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	98.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	96.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
	93.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
	93.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.7%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	94.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
	98.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	55.6%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))

Compiler

Compiled 6 262 to 4 706 computations (24.8% saved)

simplify161.0ms (1%)

Memory

20.7MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
cost-diff	0	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
cost-diff	2688	(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))
cost-diff	0	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cost-diff	0	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)
cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
cost-diff	896	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff	0	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
cost-diff	0	(/.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))))
cost-diff	0	(/.f32 #s(literal 1 binary32) cosTheta_i)
cost-diff	544	(/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	412
0	97	398
1	195	380
2	574	377
3	2583	377
4	3714	377
5	4739	377
6	7563	377
0	8511	377

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.1%)

Memory

-4.4MiB live, 203.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)
accuracy	0.29296875	(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.6702315425702197	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
accuracy	0.15625	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
accuracy	0.2109375	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
accuracy	0.22265625	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.8481867008577013	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.13671875	(/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)
accuracy	0.2603975706944218	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)
accuracy	1.6854616703090157	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) 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 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
accuracy	0	(/.f32 cosTheta_i v)
accuracy	0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy	0.140625	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (/.f32 #s(literal 1 binary32) 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

114.0ms

256×

valid

Compiler

Compiled 772 to 121 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 42.0ms (44.7% of total)

ival-mult: 35.0ms (37.3% of total)

ival-pow: 8.0ms (8.5% of total)

ival-exp: 4.0ms (4.3% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

series194.0ms (1.1%)

Memory

-13.6MiB live, 252.6MiB allocated

Counts

26 → 76

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
48.0ms	cosTheta_O	@	0	((/ cosTheta_O (/ 1 cosTheta_i)) (/ 1 cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v)) (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_i (/ cosTheta_O v)) (/ cosTheta_O v) (* (sinh (/ 1 v)) (* 2 v)) (pow (* (sinh (/ 1 v)) v) -1) (/ 1 (* (/ v (* cosTheta_i cosTheta_O)) 2)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (/ v (* cosTheta_i cosTheta_O)) 2) (sinh (/ 1 v)) (* (/ cosTheta_O (/ 1 cosTheta_i)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (/ 1 cosTheta_i) cosTheta_O) (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) v))
29.0ms	cosTheta_i	@	0	((/ cosTheta_O (/ 1 cosTheta_i)) (/ 1 cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v)) (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_i (/ cosTheta_O v)) (/ cosTheta_O v) (* (sinh (/ 1 v)) (* 2 v)) (pow (* (sinh (/ 1 v)) v) -1) (/ 1 (* (/ v (* cosTheta_i cosTheta_O)) 2)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (/ v (* cosTheta_i cosTheta_O)) 2) (sinh (/ 1 v)) (* (/ cosTheta_O (/ 1 cosTheta_i)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (/ 1 cosTheta_i) cosTheta_O) (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) v))
20.0ms	cosTheta_i	@	-inf	((/ cosTheta_O (/ 1 cosTheta_i)) (/ 1 cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v)) (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_i (/ cosTheta_O v)) (/ cosTheta_O v) (* (sinh (/ 1 v)) (* 2 v)) (pow (* (sinh (/ 1 v)) v) -1) (/ 1 (* (/ v (* cosTheta_i cosTheta_O)) 2)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (/ v (* cosTheta_i cosTheta_O)) 2) (sinh (/ 1 v)) (* (/ cosTheta_O (/ 1 cosTheta_i)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (/ 1 cosTheta_i) cosTheta_O) (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) v))
20.0ms	cosTheta_O	@	-inf	((/ cosTheta_O (/ 1 cosTheta_i)) (/ 1 cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v)) (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_i (/ cosTheta_O v)) (/ cosTheta_O v) (* (sinh (/ 1 v)) (* 2 v)) (pow (* (sinh (/ 1 v)) v) -1) (/ 1 (* (/ v (* cosTheta_i cosTheta_O)) 2)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (/ v (* cosTheta_i cosTheta_O)) 2) (sinh (/ 1 v)) (* (/ cosTheta_O (/ 1 cosTheta_i)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (/ 1 cosTheta_i) cosTheta_O) (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) v))
12.0ms	cosTheta_O	@	inf	((/ cosTheta_O (/ 1 cosTheta_i)) (/ 1 cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) 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)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v)) (/ (/ 1 (/ (/ 1 cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_i (/ cosTheta_O v)) (/ cosTheta_O v) (* (sinh (/ 1 v)) (* 2 v)) (pow (* (sinh (/ 1 v)) v) -1) (/ 1 (* (/ v (* cosTheta_i cosTheta_O)) 2)) (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (/ v (* cosTheta_i cosTheta_O)) 2) (sinh (/ 1 v)) (* (/ cosTheta_O (/ 1 cosTheta_i)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* (* 2 v) (sinh (/ 1 v))) (/ (/ 1 cosTheta_i) cosTheta_O) (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) v))

simplify276.0ms (1.6%)

Memory

31.7MiB live, 274.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	2022
1	1363	1929
2	4799	1808
0	8502	1749

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 76

Calls

Call 1

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

Outputs
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ 1 cosTheta_i)
(/.f32 #s(literal 1 binary32) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* 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) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
(/ 1 (* cosTheta_O cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)
(/ (* 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))))
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/ cosTheta_O v)
(/.f32 cosTheta_O 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))))
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(/.f32 #s(literal 1 binary32) v)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ 1/2 v)
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(/ (+ 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 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
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(/ (+ (* -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_i sinTheta_O) 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)
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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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2
#s(literal 2 binary32)
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(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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1
#s(literal 1 binary32)
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(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
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(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
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(/.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 #s(literal 1 binary32) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 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)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) 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)
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -7/360 binary32) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/2 binary32) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 31/15120 binary32)) (pow.f32 v #s(literal 6 binary32)))) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.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)))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (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 #s(literal -1/2 binary32) (/.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)) v)) (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 #s(literal -1 binary32) (/.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)) v)) (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 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) 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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 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 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_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)) 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 (.f32 (.f32 cosTheta_i cosTheta_O) (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_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 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))
(* -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 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/2 binary32) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -31/15120 binary32)) (pow.f32 v #s(literal 6 binary32)))) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32))))) (neg.f32 v))

rewrite142.0ms (0.8%)

Memory

-36.2MiB live, 165.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	318
0	97	298
1	313	287
2	2067	286
0	8155	286

Stop Event

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

Counts

26 → 1 126

Calls

Call 1

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

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

eval95.0ms (0.6%)

Memory: 36.9MiB live, 190.0MiB allocated
Compiler: Compiled 35 090 to 3 333 computations (90.5% saved)

prune239.0ms (1.4%)

Memory

-9.6MiB live, 307.0MiB allocated

Pruning

91 alts after pruning (87 fresh and 4 done)

	Pruned	Kept	Total
New	968	45	1 013
Fresh	31	42	73
Picked	3	2	5
Done	0	2	2
Total	1 002	91	1 093

Accuracy

99.9%

Counts

1 093 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
	93.5%	(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) 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 #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))))
	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))
	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))
	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))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.1%	(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
	56.2%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	56.1%	(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
	98.3%	(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	55.8%	(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 (/.f32 #s(literal 1 binary32) 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)))
	98.3%	(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) cosTheta_O) cosTheta_i)
	98.4%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) cosTheta_O)
	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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) 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))))
	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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
	55.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
	45.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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)))
	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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1 binary32) #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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) 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 (.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 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (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_i sinTheta_O) v)) #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)))
	56.0%	#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_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 (neg.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) 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) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 #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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
	94.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
	94.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
	97.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.8%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.4%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
	61.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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))))
	97.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
✓	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	68.3%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
	61.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
	61.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
	98.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	96.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
	93.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
	93.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) cosTheta_i) #s(literal -1 binary32))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.7%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
	94.5%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))))
	94.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (log.f32 v))) #s(literal -1 binary32))))
	94.2%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (exp.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) #s(literal -1 binary32))))
	94.3%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (exp.f32 (neg.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))))
	94.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 2 binary32) cosTheta_i))) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
	98.0%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	55.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
	55.9%	#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))

Compiler

Compiled 10 317 to 3 647 computations (64.7% saved)

regimes700.0ms (4.1%)

Memory

6.2MiB live, 640.7MiB allocated

Counts

187 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 2 binary32) cosTheta_i))) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 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 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 (/.f32 (.f32 v v) cosTheta_O)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
(/.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 (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 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.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)))))
(/.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 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))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) cosTheta_i) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (exp.f32 (neg.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 #s(literal 2 binary32) v) 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 (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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) cosTheta_O)
(.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_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 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(.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 #s(literal -1/2 binary32) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(.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))
(/.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 (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 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))))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) cosTheta_O) cosTheta_i)
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
(.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))))
(/.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)))))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)) cosTheta_O))
(.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))))
(.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 #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 (/.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (.f32 #s(literal 2 binary32) (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))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 binary32) (.f32 #s(literal 2 binary32) v)) (.f32 (/.f32 (/.f32 (neg.f32 v) cosTheta_O) 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) (.f32 (.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (exp.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (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))
#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)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 #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))))
(/.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))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (*.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (.f32 (/.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)))) #s(literal 1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))) cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (log.f32 v))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
(.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))))
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.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)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 #s(literal 2 binary32) v) v)) #s(literal -1/2 binary32))))
(.f32 (pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) 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 (/.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))))

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:

270.0ms	sinTheta_i
95.0ms	cosTheta_i
64.0ms	cosTheta_O
62.0ms	(*.f32 sinTheta_i sinTheta_O)
57.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes792.0ms (4.7%)

Memory

5.1MiB live, 411.2MiB allocated

Counts

145 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 2 binary32) cosTheta_i))) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 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 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 (/.f32 (.f32 v v) cosTheta_O)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
(/.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 (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 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.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)))))
(/.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 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))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) cosTheta_i) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (exp.f32 (neg.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 #s(literal 2 binary32) v) 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 (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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) cosTheta_O)
(.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_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 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) 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_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))

Calls

8 calls:

340.0ms	cosTheta_O
89.0ms	sinTheta_i
72.0ms	cosTheta_i
63.0ms	sinTheta_O
57.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes432.0ms (2.6%)

Memory

-5.2MiB live, 315.1MiB allocated

Counts

144 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 2 binary32) cosTheta_i))) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 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 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 (/.f32 (.f32 v v) cosTheta_O)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
(/.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 (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 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.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)))))
(/.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 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))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (pow.f32 (.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) cosTheta_i) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (exp.f32 (neg.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 #s(literal 2 binary32) v) 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 (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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) cosTheta_O)
(.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_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 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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))))

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:

69.0ms	(*.f32 sinTheta_i sinTheta_O)
67.0ms	sinTheta_O
63.0ms	cosTheta_i
59.0ms	cosTheta_O
57.0ms	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	`(/.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)

regimes1.1s (6.4%)

Memory

16.9MiB live, 527.8MiB allocated

Counts

143 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

292.0ms	v
270.0ms	(*.f32 cosTheta_i cosTheta_O)
237.0ms	(/.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))
93.0ms	(*.f32 sinTheta_i sinTheta_O)
67.0ms	cosTheta_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	`(/.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)

regimes277.0ms (1.6%)

Memory

0.1MiB live, 477.2MiB allocated

Counts

123 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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 sinTheta_O (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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 (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 2 binary32) cosTheta_i))) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal -1 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 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 v (/.f32 v cosTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 (/.f32 (.f32 v v) cosTheta_O)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
(/.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))

Outputs

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

Calls

8 calls:

38.0ms	sinTheta_O
37.0ms	cosTheta_i
36.0ms	(*.f32 cosTheta_i cosTheta_O)
34.0ms	cosTheta_O
34.0ms	v

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)

regimes291.0ms (1.7%)

Memory

-2.7MiB live, 475.4MiB allocated

Counts

107 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.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 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal -1 binary32)))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(approx (/ (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v))) (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)) cosTheta_i)) (*.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))

Outputs

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

Calls

8 calls:

60.0ms	sinTheta_i
52.0ms	sinTheta_O
32.0ms	cosTheta_i
30.0ms	(*.f32 sinTheta_i sinTheta_O)
29.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes241.0ms (1.4%)

Memory

-6.2MiB live, 439.6MiB allocated

Counts

101 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32)) cosTheta_i) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) v v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

40.0ms	cosTheta_i
37.0ms	(*.f32 sinTheta_i sinTheta_O)
28.0ms	cosTheta_O
28.0ms	sinTheta_O
27.0ms	v

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`sinTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_O`
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)`
98.4%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes371.0ms (2.2%)

Memory

-15.0MiB live, 341.9MiB 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
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#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
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#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
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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(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

58.0ms	sinTheta_O
58.0ms	sinTheta_i
52.0ms	v
49.0ms	(*.f32 cosTheta_i cosTheta_O)
42.0ms	(/.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
98.4%	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)

regimes212.0ms (1.3%)

Memory

36.7MiB live, 272.3MiB allocated

Counts

81 → 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 cosTheta_i (.f32 (/.f32 v cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 #s(literal 2 binary32) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (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)) (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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 cosTheta_i cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))

Outputs

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

Calls

8 calls:

36.0ms	cosTheta_i
35.0ms	(*.f32 sinTheta_i sinTheta_O)
30.0ms	v
27.0ms	cosTheta_O
22.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes242.0ms (1.4%)

Memory

-30.6MiB live, 291.4MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

55.0ms	sinTheta_O
35.0ms	sinTheta_i
23.0ms	(/.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))
23.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	cosTheta_i

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)

regimes143.0ms (0.8%)

Memory

5.1MiB live, 323.8MiB 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) cosTheta_i)))

Outputs

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

Calls

8 calls:

19.0ms	cosTheta_i
19.0ms	v
18.0ms	sinTheta_i
18.0ms	cosTheta_O
18.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.1%	1	`sinTheta_i`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.1%	1	`cosTheta_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	`cosTheta_O`
98.1%	1	`sinTheta_O`
98.1%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes136.0ms (0.8%)

Memory

18.1MiB live, 221.2MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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 #s(literal 1/2 binary32) 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 (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.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 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_O) (/.f32 v 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 1/2 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 1/2 binary32) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 (/.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) 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 (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #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)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg 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)) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.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))
#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_i sinTheta_O) v)) #s(literal -1/2 binary32)))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal -1/12 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* cosTheta_i (/ cosTheta_O v)) (* (sinh (/ 1 v)) (* 2 v))) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) #s(approx (/ (* (/ cosTheta_O v) (/ cosTheta_i v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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) #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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal 1/2 binary32)) (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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
(/.f32 #s(literal -1 binary32) #s(approx (* (* (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (/ (/ v cosTheta_i) (neg cosTheta_O))) (.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O cosTheta_O)) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) (.f32 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 #s(approx (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i v) sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (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 (/.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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) #s(approx (/ (- (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) 1/2) (neg v)) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1 binary32) #s(literal 1/2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.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))) v))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (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 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#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 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 #s(approx (/ (+ ( (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))))) v) #s(literal 1/2 binary32)) (neg.f32 v))))
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (* 2 v) (* (sinh (/ 1 v)) (pow (exp sinTheta_O) (/ sinTheta_i v)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.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) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))
#s(approx (* (* cosTheta_O cosTheta_i) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) (sinh (/ 1 v))) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* 2 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 cosTheta_O cosTheta_i) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (-.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (fma.f32 (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32)) (neg.f32 v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))))

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
68.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
68.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.3%	1	`cosTheta_i`
68.3%	1	`cosTheta_O`
68.3%	1	`sinTheta_i`
68.3%	1	`sinTheta_O`
68.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
68.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes118.0ms (0.7%)

Memory

-21.1MiB live, 214.2MiB allocated

Counts

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

Outputs

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

16.0ms	sinTheta_O
16.0ms	cosTheta_O
15.0ms	sinTheta_i
14.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
14.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes99.0ms (0.6%)

Memory

11.2MiB live, 169.8MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

14.0ms	sinTheta_i
14.0ms	cosTheta_O
14.0ms	v
13.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes71.0ms (0.4%)

Memory

-15.6MiB live, 106.5MiB allocated

Counts

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

Calls

8 calls:

12.0ms	cosTheta_O
12.0ms	v
9.0ms	(/.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))
8.0ms	cosTheta_i
7.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
56.1%	1	`cosTheta_O`
56.1%	1	`sinTheta_i`
56.1%	1	`sinTheta_O`
56.1%	1	`v`
56.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.1%	1	`cosTheta_i`
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	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes59.0ms (0.3%)

Memory

10.1MiB live, 85.3MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

11.0ms	cosTheta_i
10.0ms	cosTheta_O
6.0ms	sinTheta_O
6.0ms	v
6.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
56.1%	1	`cosTheta_i`
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	`(*.f32 cosTheta_i cosTheta_O)`
56.1%	1	`cosTheta_O`
56.1%	1	`sinTheta_i`
56.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.1%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes43.0ms (0.3%)

Memory

21.1MiB live, 66.2MiB allocated

Counts

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

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:

9.0ms	sinTheta_i
7.0ms	v
5.0ms	cosTheta_O
4.0ms	sinTheta_O
4.0ms	cosTheta_i

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)

regimes34.0ms (0.2%)

Memory

-23.0MiB live, 53.1MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

8.0ms	sinTheta_O
7.0ms	v
3.0ms	cosTheta_O
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)

regimes70.0ms (0.4%)

Memory

9.4MiB live, 47.7MiB 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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.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)))
#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)))

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

Calls

8 calls:

50.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	v
3.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes38.0ms (0.2%)

Memory

-12.2MiB live, 33.7MiB 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:

27.0ms	v
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	cosTheta_O
2.0ms	cosTheta_i
2.0ms	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)

simplify125.0ms (0.7%)

Memory

2.9MiB live, 80.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	683
1	238	683
2	283	681
3	341	680
4	444	680
5	566	680
6	741	680
7	1077	680
8	1569	680
9	2077	680
10	2582	680
11	2921	680
12	3102	680
13	3219	680
14	3228	680
15	3228	680
16	3246	680

Stop Event

1×

saturated

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

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

soundness1.8s (10.7%)

Memory

47.5MiB live, 1 211.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	770	4089
1	2641	3828
0	8211	3685
0	19	45
0	31	45
1	89	44
2	528	44
3	6803	44
0	8045	44
0	190	809
1	590	770
2	2286	688
3	5615	685
0	8335	665
0	433	2022
1	1363	1929
2	4799	1808
0	8502	1749
0	1190	5871
1	3944	5686
0	8218	5498
0	76	424
0	118	425
1	425	396
2	3176	394
0	8258	390
0	61	257
0	100	245
1	339	239
2	2237	238
0	8643	238
0	66	318
0	97	298
1	313	287
2	2067	286
0	8155	286

Stop Event

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

Compiler

Compiled 1 791 to 1 093 computations (39% saved)

preprocess409.0ms (2.4%)

Memory

25.3MiB live, 606.8MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 4 572 to 3 102 computations (32.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.2s (6.9%)

sample2.5s (14.8%)

explain352.0ms (2.1%)

preprocess180.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify116.0ms (0.7%)

localize46.0ms (0.3%)

series56.0ms (0.3%)

simplify150.0ms (0.9%)

rewrite200.0ms (1.2%)

eval78.0ms (0.5%)

prune88.0ms (0.5%)

simplify136.0ms (0.8%)

localize180.0ms (1.1%)

series343.0ms (2%)

simplify172.0ms (1%)

rewrite211.0ms (1.2%)

eval183.0ms (1.1%)

prune88.0ms (0.5%)

simplify123.0ms (0.7%)

localize193.0ms (1.1%)

series232.0ms (1.4%)

simplify187.0ms (1.1%)

rewrite463.0ms (2.7%)

eval193.0ms (1.1%)

prune163.0ms (1%)

simplify161.0ms (1%)

localize194.0ms (1.1%)

series194.0ms (1.1%)

simplify276.0ms (1.6%)

rewrite142.0ms (0.8%)

eval95.0ms (0.6%)

prune239.0ms (1.4%)

regimes700.0ms (4.1%)

regimes792.0ms (4.7%)

regimes432.0ms (2.6%)

regimes1.1s (6.4%)

regimes277.0ms (1.6%)

regimes291.0ms (1.7%)

regimes241.0ms (1.4%)

regimes371.0ms (2.2%)

regimes212.0ms (1.3%)

regimes242.0ms (1.4%)

regimes143.0ms (0.8%)

regimes136.0ms (0.8%)

regimes118.0ms (0.7%)

regimes99.0ms (0.6%)

regimes71.0ms (0.4%)

regimes59.0ms (0.3%)

regimes43.0ms (0.3%)

regimes34.0ms (0.2%)

regimes70.0ms (0.4%)

regimes38.0ms (0.2%)

simplify125.0ms (0.7%)

soundness1.8s (10.7%)

preprocess409.0ms (2.4%)

end0.0ms (0%)

Profiling