Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze860.0ms (5.9%)

Memory

-14.1MiB live, 1 035.5MiB 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)

sample3.5s (24.3%)

Memory

-97.1MiB live, 3 032.5MiB allocated

Samples

2.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-div: 488.0ms (21.7% of total)

ival-sinh: 420.0ms (18.7% of total)

ival-<=: 367.0ms (16.3% of total)

ival-mult: 334.0ms (14.8% of total)

const: 269.0ms (12% of total)

ival-neg: 178.0ms (7.9% of total)

ival-exp: 93.0ms (4.1% of total)

ival-and: 60.0ms (2.7% of total)

ival-<: 20.0ms (0.9% of total)

exact: 17.0ms (0.8% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain188.0ms (1.3%)

Memory

7.2MiB live, 435.5MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(-5.0283216833190385e-24 -1.0418093438067465e-22 5.963964877508943e-10 9.095188324710461e-17 0.41004177927970886)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	88

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

67.0ms

512×

valid

Compiler

Compiled 302 to 80 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 16.0ms (36.7% of total)

ival-mult: 15.0ms (34.4% of total)

ival-sinh: 5.0ms (11.5% of total)

ival-exp: 4.0ms (9.2% of total)

ival-neg: 2.0ms (4.6% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

preprocess170.0ms (1.2%)

Memory

-1.1MiB live, 239.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	535	441
2	2083	420
0	19	22
0	31	22
1	67	22
2	197	21
3	779	21
4	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: 0.3MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.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)

simplify111.0ms (0.8%)

Memory

28.9MiB live, 146.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	67	92
2	197	90
3	779	90
4	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)

localize49.0ms (0.3%)

Memory

-29.5MiB live, 85.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

34.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.5% of total)

ival-div: 7.0ms (32.8% of total)

ival-exp: 3.0ms (14.1% of total)

ival-sinh: 2.0ms (9.4% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

6 → 16

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	v	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	v	@	inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	sinTheta_i	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
1.0ms	sinTheta_O	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))

simplify117.0ms (0.8%)

Memory

-16.7MiB live, 100.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	171
1	152	169
2	351	166
3	789	165
4	1810	165
5	4797	165
6	7239	165
0	8054	165

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite174.0ms (1.2%)

Memory

-3.3MiB live, 222.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 499

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 (/.f32 (/.f32 (neg.f32 v) sinTheta_i) sinTheta_O) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 (neg.f32 v) sinTheta_i) sinTheta_O) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(.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 (pow.f32 (/.f32 (/.f32 (neg.f32 v) sinTheta_i) sinTheta_O) #s(literal -3 binary32)) (pow.f32 (/.f32 v (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) (pow.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(*.f32 (/.f32 sinTheta_i v) (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 (/.f32 (neg.f32 sinTheta_O) v) (pow.f32 (/.f32 #s(literal 1 binary32) 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)))
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(/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.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 binary32) (.f32 (neg.f32 v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32)) (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) (.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))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v) (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) (*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (.f32 (neg.f32 v) (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (neg.f32 v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))) (*.f32 (neg.f32 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 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) (*.f32 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 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (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) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 v (/.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -1 binary32))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(+.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

eval77.0ms (0.5%)

Memory: -3.1MiB live, 162.6MiB allocated
Compiler: Compiled 15 893 to 2 427 computations (84.7% saved)

prune55.0ms (0.4%)

Memory

-30.0MiB live, 127.9MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	479	36	515
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	479	37	516

Accuracy

99.8%

Counts

516 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	93.8%	(/.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))
	47.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.6%	(/.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 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))) #s(literal 2 binary32)) v))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))) #s(literal 2 binary32)) v))
✓	98.7%	(/.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%	(/.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))
	71.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	65.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	65.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	59.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
▶	98.7%	(/.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))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	93.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_O) #s(literal -1 binary32)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.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))
▶	90.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 2 228 to 1 725 computations (22.6% saved)

simplify86.0ms (0.6%)

Memory

19.9MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	96	(.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))
cost-diff	416	(.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))))
cost-diff	6112	(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	736	(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	192	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	498
0	77	496
1	156	479
2	502	469
3	2316	469
4	5418	469
0	8388	469

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

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

localize200.0ms (1.4%)

Memory

-5.8MiB live, 187.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.7847717301085784	(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))
accuracy	15.194377801951482	(log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
accuracy	0.26171875	(/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.19921875	(/.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))
accuracy	0.2265625	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19921875	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	23.11827696957124	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.35546875	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

150.0ms

256×

valid

Compiler

Compiled 994 to 89 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 27.0ms (48.3% of total)

ival-mult: 15.0ms (26.8% of total)

ival-exp: 5.0ms (8.9% of total)

ival-sinh: 4.0ms (7.2% of total)

ival-log: 3.0ms (5.4% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series359.0ms (2.5%)

Memory

39.3MiB live, 388.5MiB allocated

Counts

18 → 76

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* -1 (+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i))))
(+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i)))
(* -1 (+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O))))
(+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O)))
(* -1 (+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i))))
(+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i)))
(* -1 (+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O))))
(+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O)))
(* -1 (+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i))))
(+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i)))
(* -1 (+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O))))
(+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O)))
(* -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)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* -1 (+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i)))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(* -1 (+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/ 1 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)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 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 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v)))))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 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 (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))

Calls

15 calls:

Time	Variable		Point	Expression
92.0ms	cosTheta_O	@	inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (/ 2 (/ (/ -1 (sinh (/ -1 v))) v)) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (* (log (/ v (* cosTheta_O cosTheta_i))) -1) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ -1 (sinh (/ -1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
61.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (/ 2 (/ (/ -1 (sinh (/ -1 v))) v)) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (* (log (/ v (* cosTheta_O cosTheta_i))) -1) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ -1 (sinh (/ -1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
44.0ms	cosTheta_i	@	0	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (/ 2 (/ (/ -1 (sinh (/ -1 v))) v)) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (* (log (/ v (* cosTheta_O cosTheta_i))) -1) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ -1 (sinh (/ -1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
43.0ms	cosTheta_O	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (/ 2 (/ (/ -1 (sinh (/ -1 v))) v)) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (* (log (/ v (* cosTheta_O cosTheta_i))) -1) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ -1 (sinh (/ -1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
22.0ms	v	@	0	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (/ 2 (/ (/ -1 (sinh (/ -1 v))) v)) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (* (log (/ v (* cosTheta_O cosTheta_i))) -1) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ -1 (sinh (/ -1 v))) (log (/ v (* cosTheta_O cosTheta_i))))

simplify189.0ms (1.3%)

Memory

-14.7MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	1656
1	1090	1586
2	3766	1450
0	8313	1412

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

Calls

Call 1

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

Outputs
(/ (* 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))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i))))
(-.f32 (log.f32 cosTheta_i) (log.f32 (/.f32 v cosTheta_O)))
(+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i)))
(-.f32 (log.f32 (/.f32 v cosTheta_O)) (log.f32 cosTheta_i))
(* -1 (+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O))))
(-.f32 (log.f32 cosTheta_i) (log.f32 (/.f32 v cosTheta_O)))
(+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O)))
(-.f32 (log.f32 (/.f32 v cosTheta_O)) (log.f32 cosTheta_i))
(* -1 (+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i))))
(-.f32 (neg.f32 (log.f32 (/.f32 (neg.f32 v) cosTheta_O))) (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_i)))
(+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_i)) (log.f32 (/.f32 (neg.f32 v) cosTheta_O)))
(* -1 (+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O))))
(-.f32 (log.f32 cosTheta_O) (log.f32 (/.f32 v cosTheta_i)))
(+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O)))
(-.f32 (log.f32 (/.f32 v cosTheta_i)) (log.f32 cosTheta_O))
(* -1 (+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i))))
(-.f32 (log.f32 cosTheta_O) (log.f32 (/.f32 v cosTheta_i)))
(+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i)))
(-.f32 (log.f32 (/.f32 v cosTheta_i)) (log.f32 cosTheta_O))
(* -1 (+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O))))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_O))) (log.f32 (/.f32 (neg.f32 v) cosTheta_i)))
(+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_O)) (log.f32 (/.f32 (neg.f32 v) cosTheta_i)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* 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))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (.f32 sinTheta_i #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32))))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.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))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (.f32 sinTheta_O #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32))))) sinTheta_O) sinTheta_O (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(* -1 (+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i)))))
(-.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) (log.f32 v))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(* 1/2 (- (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 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i))))
(-.f32 (log.f32 v) (log.f32 (*.f32 cosTheta_O cosTheta_i)))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* 1/2 (/ (* 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal -1/6 binary32) cosTheta_i) (/.f32 (.f32 cosTheta_O (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) v)
(* -1 (+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))
(-.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) (log.f32 v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 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 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 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 #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)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v v)
(+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))
(-.f32 (log.f32 v) (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(* -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_O sinTheta_i) 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_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))) (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_O cosTheta_i)) (/.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)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v)) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) #s(literal -1/2 binary32)))) v)) (neg.f32 v))) v)
(* -1 (+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) cosTheta_i)))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (+.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)))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (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 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v v)
(+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) cosTheta_i)) (log.f32 (/.f32 #s(literal -1 binary32) v)))

rewrite174.0ms (1.2%)

Memory

-8.4MiB live, 268.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	162
0	71	158
1	226	146
2	1221	145
0	8707	145

Stop Event

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

Counts

18 → 1 316

Calls

Call 1

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

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

eval154.0ms (1.1%)

Memory: 34.9MiB live, 340.8MiB allocated
Compiler: Compiled 46 408 to 4 709 computations (89.9% saved)

prune103.0ms (0.7%)

Memory

-4.2MiB live, 203.7MiB allocated

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1 632	34	1 666
Fresh	17	14	31
Picked	4	1	5
Done	0	1	1
Total	1 653	50	1 703

Accuracy

99.9%

Counts

1 703 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	90.3%	(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.5%	(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))))
	98.4%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v)) (neg.f32 v))
▶	98.9%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 v cosTheta_O))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 cosTheta_i)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 cosTheta_O cosTheta_i))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	93.8%	(/.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))
	47.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	49.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
✓	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
▶	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.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 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v))
✓	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) #s(literal -1 binary32))))
	65.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( (sinh (/ -1 v)) 2) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( (sinh (/ -1 v)) 2) (/ -1 v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	94.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.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)))) v))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) 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))) v)))
	98.7%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.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)))))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.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))))))
	98.8%	(.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_O cosTheta_i))
	98.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 cosTheta_O v))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 cosTheta_O cosTheta_i)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
▶	98.7%	(.f32 cosTheta_i (/.f32 (/.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))))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i 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))))))
	54.1%	#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_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.7%	#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 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#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))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (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))) (neg.f32 v)))
▶	59.6%	#s(approx (/ (* (exp (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 2 878 to 2 272 computations (21.1% saved)

simplify105.0ms (0.7%)

Memory

-13.5MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	6400	(exp.f32 (log.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
cost-diff	0	(exp.f32 sinTheta_O)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	192	(.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))))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	192	(/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	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)) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cost-diff	0	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	434
0	105	429
1	194	429
2	570	421
3	2553	421
4	4109	421
5	5970	421
0	8634	421

Stop Event

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

Calls

Call 1

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

localize149.0ms (1%)

Memory

22.5MiB live, 211.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.7847717301085784	(exp.f32 (log.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
accuracy	10.883485911010021	(log.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
accuracy	0.140625	(.f32 cosTheta_i (/.f32 (/.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))))))
accuracy	0.2265625	(.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.32716752930532605	(/.f32 (/.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)))))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.26171875	(/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.26394011208351753	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2887051511572856	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	12.914109629270179	#s(approx (/ (* (exp (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	0.1171875	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	0.139003759768442	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.201503759768442	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

105.0ms

256×

valid

Compiler

Compiled 862 to 120 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 28.0ms (34.7% of total)

ival-mult: 24.0ms (29.8% of total)

ival-pow: 10.0ms (12.4% of total)

ival-exp: 9.0ms (11.2% of total)

ival-sinh: 4.0ms (5% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

series497.0ms (3.4%)

Memory

14.2MiB live, 676.2MiB allocated

Counts

26 → 135

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
123.0ms	cosTheta_i	@	0	((/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ v (/ 1/2 (sinh (/ 1 v)))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v)) (exp sinTheta_O) (exp (log (* (/ cosTheta_i v) cosTheta_O))) (sinh (/ 1 v)) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (/ 1/2 (sinh (/ 1 v))) (sinh (/ -1 v)) (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (* (* -2 v) (sinh (/ -1 v))) (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))))) (log (* (/ cosTheta_i v) cosTheta_O)))
77.0ms	v	@	-inf	((/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ v (/ 1/2 (sinh (/ 1 v)))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v)) (exp sinTheta_O) (exp (log (* (/ cosTheta_i v) cosTheta_O))) (sinh (/ 1 v)) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (/ 1/2 (sinh (/ 1 v))) (sinh (/ -1 v)) (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (* (* -2 v) (sinh (/ -1 v))) (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))))) (log (* (/ cosTheta_i v) cosTheta_O)))
41.0ms	cosTheta_O	@	-inf	((/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ v (/ 1/2 (sinh (/ 1 v)))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v)) (exp sinTheta_O) (exp (log (* (/ cosTheta_i v) cosTheta_O))) (sinh (/ 1 v)) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (/ 1/2 (sinh (/ 1 v))) (sinh (/ -1 v)) (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (* (* -2 v) (sinh (/ -1 v))) (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))))) (log (* (/ cosTheta_i v) cosTheta_O)))
37.0ms	cosTheta_i	@	-inf	((/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ v (/ 1/2 (sinh (/ 1 v)))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v)) (exp sinTheta_O) (exp (log (* (/ cosTheta_i v) cosTheta_O))) (sinh (/ 1 v)) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (/ 1/2 (sinh (/ 1 v))) (sinh (/ -1 v)) (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (* (* -2 v) (sinh (/ -1 v))) (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))))) (log (* (/ cosTheta_i v) cosTheta_O)))
32.0ms	cosTheta_O	@	0	((/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ v (/ 1/2 (sinh (/ 1 v)))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (/ cosTheta_O v) (pow (exp sinTheta_O) (/ sinTheta_i v)) (exp sinTheta_O) (exp (log (* (/ cosTheta_i v) cosTheta_O))) (sinh (/ 1 v)) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (/ 1/2 (sinh (/ 1 v))) (sinh (/ -1 v)) (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (* (* -2 v) (sinh (/ -1 v))) (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))))) (log (* (/ cosTheta_i v) cosTheta_O)))

simplify266.0ms (1.8%)

Memory

14.9MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	822	4362
1	2694	4121
0	8359	3964

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 135

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

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

rewrite144.0ms (1%)

Memory

9.2MiB live, 160.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	231
0	89	230
1	267	226
2	1701	225
0	8186	225

Stop Event

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

Counts

26 → 1 159

Calls

Call 1

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

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

eval154.0ms (1.1%)

Memory: -15.7MiB live, 299.1MiB allocated
Compiler: Compiled 35 831 to 4 581 computations (87.2% saved)

prune142.0ms (1%)

Memory

-5.7MiB live, 234.6MiB allocated

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	1 201	42	1 243
Fresh	16	27	43
Picked	3	2	5
Done	1	1	2
Total	1 221	72	1 293

Accuracy

99.9%

Counts

1 293 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal 2 binary32) v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
▶	98.9%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.9%	(/.f32 (.f32 (.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)) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.5%	(/.f32 (.f32 (.f32 (.f32 (exp.f32 (log.f32 cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.2%	(/.f32 (.f32 (.f32 (exp.f32 (log.f32 (/.f32 cosTheta_i v))) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	89.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 cosTheta_O cosTheta_i))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	47.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	49.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32)))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.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 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))) #s(literal 2 binary32)) v))
✓	98.7%	(/.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%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	94.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.9%	(.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
▶	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	99.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.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)))))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.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))))))
	98.8%	(.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_O cosTheta_i))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 cosTheta_O cosTheta_i)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
	98.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
	59.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32)))))
	59.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal -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 2 binary32))))))
	65.4%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -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)))))
	98.8%	(.f32 cosTheta_i (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.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))))))
	97.5%	(.f32 cosTheta_i (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.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))))))
	98.8%	(.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 #s(literal 2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 v cosTheta_O)))))
	98.9%	(.f32 cosTheta_i (.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(literal -1 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)))
	99.0%	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.1%	(.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (.f32 (/.f32 v cosTheta_O) (.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))))) #s(literal -1 binary32))))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v)))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta_O v) (/.f32 (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) cosTheta_O))) v)))
	50.3%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (-.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_O) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O)) v))) v)) (neg.f32 v))))
	98.7%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i 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))))))
	59.6%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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_O cosTheta_i))) v))
	50.3%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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 sinTheta_i cosTheta_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_O cosTheta_i))) v))) v)) (neg.f32 v)))
	50.3%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 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_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))))) v))
	54.1%	#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_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	59.7%	#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 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#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))
	59.6%	#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)))
	59.6%	#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)))
▶	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (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))) (neg.f32 v)))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
	60.1%	#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 v cosTheta_i) cosTheta_O)))
	60.1%	#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 v (*.f32 (neg.f32 cosTheta_i) cosTheta_O))))
	59.6%	#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) v) (.f32 cosTheta_O cosTheta_i)))
▶	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
✓	59.6%	#s(approx (/ (* (exp (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)))
	59.6%	#s(approx (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 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 (/.f32 cosTheta_O v) (/.f32 (.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)))) v) (*.f32 cosTheta_O cosTheta_i)))) v))

Compiler

Compiled 4 584 to 3 504 computations (23.6% saved)

simplify143.0ms (1%)

Memory

17.7MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (neg.f32 sinTheta_O) v)
cost-diff	0	(exp.f32 sinTheta_i)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cost-diff	0	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)))
cost-diff	384	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(.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)))
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) (-.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))) (neg.f32 v)))
cost-diff	64	(/.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))) (neg.f32 v))
cost-diff	320	(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))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cost-diff	0	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	606
0	114	607
1	237	599
2	725	579
3	2950	579
4	4773	579
5	7827	579
0	8611	573

Stop Event

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

Calls

Call 1

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

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

localize264.0ms (1.8%)

Memory

29.7MiB live, 307.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.154628759768442	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.2945963499997479	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.367851269536884	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.139003759768442	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.201503759768442	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.7513806145605139	#s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.2392450804628638	(/.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)
accuracy	0.2697425606271514	(-.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))
accuracy	0.2802288816204016	(/.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)
accuracy	13.395123827174844	#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))) (neg.f32 v)))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.04296875	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
accuracy	0.1171875	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
accuracy	12.914109629270179	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
accuracy	0.15234375	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.3125	(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.367851269536884	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7959506164140846	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

173.0ms

256×

valid

Compiler

Compiled 1 164 to 139 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 53.0ms (38.8% of total)

ival-pow: 33.0ms (24.2% of total)

ival-div: 27.0ms (19.8% of total)

ival-exp: 7.0ms (5.1% of total)

ival-add: 4.0ms (2.9% of total)

const: 4.0ms (2.9% of total)

ival-neg: 4.0ms (2.9% of total)

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

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series909.0ms (6.3%)

Memory

-70.8MiB live, 742.2MiB allocated

Counts

27 → 212

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
500.0ms	cosTheta_i	@	0	((* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v)))) (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (exp sinTheta_i) (/ (neg sinTheta_O) v) (sinh (/ 1 v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (exp sinTheta_O) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v)))))
73.0ms	cosTheta_O	@	0	((* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v)))) (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (exp sinTheta_i) (/ (neg sinTheta_O) v) (sinh (/ 1 v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (exp sinTheta_O) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v)))))
66.0ms	sinTheta_i	@	inf	((* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v)))) (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (exp sinTheta_i) (/ (neg sinTheta_O) v) (sinh (/ 1 v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (exp sinTheta_O) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v)))))
43.0ms	cosTheta_i	@	inf	((* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v)))) (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (exp sinTheta_i) (/ (neg sinTheta_O) v) (sinh (/ 1 v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (exp sinTheta_O) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v)))))
34.0ms	cosTheta_O	@	inf	((* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v)))) (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O (/ cosTheta_i v)) 1/2) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 v))) (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) (exp sinTheta_i) (/ (neg sinTheta_O) v) (sinh (/ 1 v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (exp sinTheta_O) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (/ (/ 1/2 v) (sinh (/ 1 v)))))

simplify188.0ms (1.3%)

Memory

13.4MiB live, 290.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1067	6650
1	3622	6357
0	8257	6075

Stop Event

1×	iter limit
1×	node limit

Counts

212 → 212

Calls

Call 1

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

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

rewrite195.0ms (1.3%)

Memory

5.4MiB live, 282.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	434
0	114	435
1	409	425
2	3048	411
0	8262	411

Stop Event

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

Counts

27 → 1 170

Calls

Call 1

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

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

eval188.0ms (1.3%)

Memory: -3.1MiB live, 255.5MiB allocated
Compiler: Compiled 53 306 to 5 230 computations (90.2% saved)

prune184.0ms (1.3%)

Memory

-2.3MiB live, 301.4MiB allocated

Pruning

85 alts after pruning (81 fresh and 4 done)

	Pruned	Kept	Total
New	1 253	44	1 297
Fresh	27	37	64
Picked	3	2	5
Done	1	2	3
Total	1 284	85	1 369

Accuracy

100.0%

Counts

1 369 → 85

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (/.f32 (.f32 (.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_i (.f32 (*.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.9%	(/.f32 (.f32 (.f32 (.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.5%	(/.f32 (.f32 (.f32 (.f32 (exp.f32 (log.f32 cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.2%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) cosTheta_O) (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.9%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	89.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 cosTheta_O cosTheta_i))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	50.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1/2 binary32))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.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 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	94.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (*.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (* (log (/ v (* cosTheta_O cosTheta_i))) -1))) (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 sinTheta_i) (neg.f32 sinTheta_O)) (/.f32 #s(literal 1 binary32) v)) v) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))))
	98.4%	(.f32 (/.f32 #s(approx (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) #s(literal 1 binary32)) v) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (.f32 (.f32 (pow.f32 #s(approx (exp sinTheta_O) (+.f32 sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	99.0%	(.f32 #s(approx (/ ( cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
	59.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32)))))
	59.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal -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 2 binary32))))))
	65.3%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -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)))))
	97.5%	(.f32 cosTheta_i (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.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))))))
	98.9%	(.f32 cosTheta_i (.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_O) #s(literal -1 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)))
	97.1%	(.f32 cosTheta_i (exp.f32 (.f32 (log.f32 (.f32 (/.f32 v cosTheta_O) (.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))))) #s(literal -1 binary32))))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))))
	59.6%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v)))
	98.7%	(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	59.6%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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_O cosTheta_i))) v))
	50.3%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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 sinTheta_i cosTheta_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_O cosTheta_i))) v))) v)) (neg.f32 v)))
	50.3%	#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 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_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))))) v))
	54.1%	#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_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.6%	#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))
	59.7%	#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 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#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))
	59.6%	#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)))
	59.6%	#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)))
✓	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (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))) (neg.f32 v)))
	58.1%	#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 #s(approx (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))) v))) (neg.f32 v)))
	58.1%	#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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) v))) (neg.f32 v)))
	56.8%	#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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))) v))) (neg.f32 v)))
	59.6%	#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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))) v))) (neg.f32 v)))
	58.1%	#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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (.f32 cosTheta_i (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) cosTheta_O)) v))) (neg.f32 v)))
	58.1%	#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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v))) (neg.f32 v)))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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)))
	59.6%	#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) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O) v)) (*.f32 sinTheta_O sinTheta_O))))) (neg.f32 v)))
	58.1%	#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) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (.f32 (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))))) (neg.f32 v)))
	50.3%	#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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v)) sinTheta_i (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))))) (neg.f32 v)))
	59.6%	#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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (fma.f32 (neg.f32 cosTheta_O) (.f32 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)) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))))) (neg.f32 v)))
	50.3%	#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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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)))
	54.0%	#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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 (.f32 sinTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 v)))
	50.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) sinTheta_O (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))) #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (fma.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32)))) (neg.f32 v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v)) (*.f32 v v))) (neg.f32 v)))
	50.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (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)))
	54.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) (neg.f32 v)))
	54.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_O sinTheta_O))) (neg.f32 v)))
	54.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal -1/4 binary32))) (neg.f32 v)))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
	60.1%	#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 v cosTheta_i) cosTheta_O)))
	60.1%	#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 v (*.f32 cosTheta_i cosTheta_O))))
	59.6%	#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) v) (.f32 cosTheta_i cosTheta_O)))
	59.7%	#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)))
✓	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)) #s(literal 1/2 binary32)))
	59.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
✓	59.6%	#s(approx (/ (* (exp (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)))
	58.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (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))))) v)) #s(literal 1/2 binary32))))
	59.6%	#s(approx (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) v))
	59.6%	#s(approx (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 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 (/.f32 cosTheta_O v) (/.f32 (.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)))) v) (*.f32 cosTheta_O cosTheta_i)))) v))

Compiler

Compiled 9 963 to 3 732 computations (62.5% saved)

regimes422.0ms (2.9%)

Memory

-0.9MiB live, 500.4MiB allocated

Counts

157 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

65.0ms	v
63.0ms	cosTheta_O
59.0ms	sinTheta_O
55.0ms	(/.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))
53.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	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))`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes155.0ms (1.1%)

Memory

-8.7MiB live, 276.8MiB allocated

Counts

66 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

26.0ms	sinTheta_O
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))
18.0ms	cosTheta_O
18.0ms	cosTheta_i
17.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes160.0ms (1.1%)

Memory

38.4MiB live, 271.1MiB 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 cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.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 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 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) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 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 v (*.f32 (neg.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 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 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 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 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v)))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 2 binary32) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))))
#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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_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) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (.f32 (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))))) (neg.f32 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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal -1/4 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 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (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)))
#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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (fma.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))) #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) 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)) #s(approx (/ (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (neg v)) (.f32 (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (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))))) v)) #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -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(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 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (.f32 cosTheta_i (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) cosTheta_O)) v))) (neg.f32 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))) (neg.f32 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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (fma.f32 (neg.f32 cosTheta_O) (.f32 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)) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))))) (neg.f32 v)))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) #s(approx ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v)))) (fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal -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 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_O sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) (neg.f32 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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 (.f32 sinTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v)) (*.f32 v v))) (neg.f32 v)))
#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) 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 sinTheta_i cosTheta_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_O cosTheta_i))) v))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O) v)) (*.f32 sinTheta_O sinTheta_O))))) (neg.f32 v)))
#s(approx (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (sinh (/ 1 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_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 v v))))) v))
(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (-.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_O) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 cosTheta_i #s(approx (/ (/ cosTheta_O v) ( (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta_O v) (/.f32 (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) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i #s(approx (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))) v))) (neg.f32 v)))
#s(approx (* cosTheta_i (/ (/ cosTheta_O v) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) (* (* -2 v) (sinh (/ -1 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 (/.f32 cosTheta_O v) (/.f32 (.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)))) v) (*.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) #s(approx (- ( cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v)) sinTheta_i (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))))) (neg.f32 v)))
#s(approx (* (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (/ 1 v) (/ (/ 1/2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* -1/2 (- (* cosTheta_O cosTheta_i) (/ (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) v))) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) sinTheta_O (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O)) (*.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 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (+ (* (* cosTheta_O (* sinTheta_O sinTheta_i)) cosTheta_i) (/ (* (* cosTheta_O cosTheta_i) (+ (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) -1/2) 1/6)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))) v))) (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 (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v 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)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (pow (exp sinTheta_O) (/ sinTheta_i v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(approx (* (* (/ cosTheta_i v) cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 cosTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

Outputs

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

Calls

8 calls:

35.0ms	sinTheta_i
26.0ms	(*.f32 cosTheta_i cosTheta_O)
18.0ms	(*.f32 sinTheta_i sinTheta_O)
17.0ms	sinTheta_O
17.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
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)`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes160.0ms (1.1%)

Memory

-39.8MiB live, 182.8MiB allocated

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

34.0ms	v
33.0ms	cosTheta_i
18.0ms	cosTheta_O
18.0ms	sinTheta_O
15.0ms	sinTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes124.0ms (0.9%)

Memory

21.3MiB live, 215.1MiB allocated

Counts

58 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes141.0ms (1%)

Memory

13.7MiB live, 204.0MiB allocated

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

31.0ms	(*.f32 sinTheta_i sinTheta_O)
20.0ms	sinTheta_O
16.0ms	cosTheta_i
15.0ms	sinTheta_i
14.0ms	v

Results

Accuracy	Segments	Branch
60.8%	1	`cosTheta_i`
60.8%	1	`cosTheta_O`
60.8%	1	`sinTheta_i`
60.8%	1	`sinTheta_O`
60.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes98.0ms (0.7%)

Memory

-10.6MiB live, 113.7MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

33.0ms	(*.f32 cosTheta_i cosTheta_O)
12.0ms	v
9.0ms	sinTheta_O
9.0ms	sinTheta_i
9.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes40.0ms (0.3%)

Memory

10.5MiB live, 82.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_i
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes32.0ms (0.2%)

Memory

-14.7MiB live, 39.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	cosTheta_O
3.0ms	cosTheta_i
3.0ms	v
3.0ms	sinTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.7%	1	`sinTheta_i`
59.7%	1	`sinTheta_O`
59.7%	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))`
59.7%	1	`cosTheta_i`
59.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.7%	1	`cosTheta_O`
59.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes17.0ms (0.1%)

Memory

-23.2MiB live, 51.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

3.0ms	(*.f32 sinTheta_i sinTheta_O)
2.0ms	(*.f32 cosTheta_i cosTheta_O)
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	sinTheta_i
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
59.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.7%	1	`sinTheta_i`
59.7%	1	`cosTheta_i`
59.7%	1	`v`
59.7%	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))`
59.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.7%	1	`sinTheta_O`
59.7%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes11.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

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 cosTheta_i) v)))

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
59.6%	1	`cosTheta_O`
59.6%	1	`sinTheta_i`
59.6%	1	`v`
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`cosTheta_i`
59.6%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.6%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes11.0ms (0.1%)

Memory

-15.1MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
59.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.6%	1	`sinTheta_i`
59.6%	1	`cosTheta_i`
59.6%	1	`sinTheta_O`
59.6%	1	`v`
59.6%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.6%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify31.0ms (0.2%)

Memory

23.0MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	373
1	149	373
2	166	373
3	187	373
4	208	373
5	221	373
6	228	373
7	230	373

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (10.4%)

Memory

1.2MiB live, 801.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	434
0	114	435
1	409	425
2	3048	411
0	8262	411
0	57	231
0	89	230
1	267	226
2	1701	225
0	8186	225
0	42	162
0	71	158
1	226	146
2	1221	145
0	8707	145
0	356	1656
1	1090	1586
2	3766	1450
0	8313	1412
0	68	171
1	152	169
2	351	166
3	789	165
4	1810	165
5	4797	165
6	7239	165
0	8054	165
0	1067	6650
1	3622	6357
0	8257	6075
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31
0	822	4362
1	2694	4121
0	8359	3964

Stop Event

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

Compiler

Compiled 1 114 to 683 computations (38.7% saved)

preprocess1.5s (10.2%)

Memory

-19.2MiB live, 569.0MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

Compiler

Compiled 4 570 to 2 860 computations (37.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze860.0ms (5.9%)

sample3.5s (24.3%)

explain188.0ms (1.3%)

preprocess170.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify111.0ms (0.8%)

localize49.0ms (0.3%)

series17.0ms (0.1%)

simplify117.0ms (0.8%)

rewrite174.0ms (1.2%)

eval77.0ms (0.5%)

prune55.0ms (0.4%)

simplify86.0ms (0.6%)

localize200.0ms (1.4%)

series359.0ms (2.5%)

simplify189.0ms (1.3%)

rewrite174.0ms (1.2%)

eval154.0ms (1.1%)

prune103.0ms (0.7%)

simplify105.0ms (0.7%)

localize149.0ms (1%)

series497.0ms (3.4%)

simplify266.0ms (1.8%)

rewrite144.0ms (1%)

eval154.0ms (1.1%)

prune142.0ms (1%)

simplify143.0ms (1%)

localize264.0ms (1.8%)

series909.0ms (6.3%)

simplify188.0ms (1.3%)

rewrite195.0ms (1.3%)

eval188.0ms (1.3%)

prune184.0ms (1.3%)

regimes422.0ms (2.9%)

regimes155.0ms (1.1%)

regimes160.0ms (1.1%)

regimes160.0ms (1.1%)

regimes124.0ms (0.9%)

regimes141.0ms (1%)

regimes98.0ms (0.7%)

regimes40.0ms (0.3%)

regimes32.0ms (0.2%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

simplify31.0ms (0.2%)

soundness1.5s (10.4%)

preprocess1.5s (10.2%)

end0.0ms (0%)

Profiling