Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.0s (7%)

Memory

-27.6MiB live, 933.2MiB 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)

sample3.2s (22.4%)

Memory

-84.0MiB live, 3 313.1MiB allocated

Samples

2.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-div: 375.0ms (18.8% of total)

ival-<=: 339.0ms (17% of total)

const: 330.0ms (16.6% of total)

ival-mult: 313.0ms (15.7% of total)

ival-<: 310.0ms (15.5% of total)

ival-sinh: 125.0ms (6.3% of total)

ival-exp: 85.0ms (4.3% of total)

ival-and: 54.0ms (2.7% of total)

ival-neg: 43.0ms (2.2% of total)

exact: 16.0ms (0.8% of total)

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

Bogosity

explain210.0ms (1.5%)

Memory

-22.2MiB live, 291.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
3	(-6.107147189143577e-23 -2.109044692776409e-31 -1.0747264177333042e-36 -1.7122657458568113e-10 0.15341982245445251)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(-7.255384856910972e-26 -4.295206012618704e-21 -0.4047758877277374 -1.6328394937402924e-37 0.40601491928100586)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	73
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	96

Confusion

	Predicted +	Predicted -
+	0	0
-	5	251

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	5	0	251

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	251
1	5

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: 46.0ms

ival-mult: 20.0ms (43.6% of total)

ival-div: 14.0ms (30.5% of total)

ival-sinh: 5.0ms (10.9% of total)

ival-exp: 4.0ms (8.7% of total)

ival-neg: 2.0ms (4.4% of total)

ival-true: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

preprocess147.0ms (1%)

Memory

31.7MiB live, 224.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

simplify172.0ms (1.2%)

Memory

-10.6MiB live, 152.1MiB 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)

localize47.0ms (0.3%)

Memory

22.9MiB live, 94.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

37.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39.4% of total)

ival-mult: 8.0ms (35% of total)

ival-exp: 2.0ms (8.8% of total)

ival-sinh: 2.0ms (8.8% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.1%)

Memory

-27.6MiB live, 23.1MiB 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	cosTheta_i	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
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))

simplify121.0ms (0.8%)

Memory

-5.1MiB live, 110.9MiB 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)

rewrite142.0ms (1%)

Memory

9.1MiB live, 247.4MiB 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)
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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)))))

eval72.0ms (0.5%)

Memory: -5.8MiB live, 154.5MiB allocated
Compiler: Compiled 15 893 to 2 427 computations (84.7% saved)

prune52.0ms (0.4%)

Memory

-7.2MiB live, 153.1MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	486	29	515
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	486	30	516

Accuracy

99.6%

Counts

516 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.7%	(/.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))
	95.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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))
	97.7%	(/.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)))
	97.8%	(/.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)))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
▶	97.8%	(/.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)))))
	98.8%	(/.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 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #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))))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (+.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))))
	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)))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (-.f32 (pow.f32 (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))
	72.3%	(/.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))
	66.2%	(/.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))
	66.2%	(/.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)))
▶	60.6%	(/.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)))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (/.f32 cosTheta_O v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.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))
▶	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 1 796 to 1 435 computations (20.1% saved)

simplify106.0ms (0.7%)

Memory

22.8MiB live, 175.7MiB 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	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	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) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
cost-diff	3488	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(*.f32 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	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	570
0	89	582
1	171	548
2	578	548
3	3610	542
4	6874	542
0	8474	542

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1%)

Memory

24.5MiB live, 258.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3708000488422101	(/.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))))
accuracy	0.762824220095757	(cosh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.4655550932818227	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
accuracy	1.6015114284058656	(pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))
accuracy	0.26953125	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.7730104801630274	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.7736929925456256	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.205410009768442	(/.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	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.205410009768442	(/.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	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	23.138749284548126	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.20703125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3209126218519596	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

97.0ms

256×

valid

Compiler

Compiled 1 114 to 99 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 18.0ms (27% of total)

ival-mult: 17.0ms (25.5% of total)

ival-exp: 9.0ms (13.5% of total)

ival-pow: 8.0ms (12% of total)

ival-cosh: 6.0ms (9% of total)

ival-sub: 2.0ms (3% of total)

ival-sinh: 2.0ms (3% of total)

ival-e: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series401.0ms (2.8%)

Memory

-24.0MiB live, 616.8MiB allocated

Counts

20 → 89

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
121.0ms	cosTheta_i	@	0	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ -1 v)) (exp (/ 1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))))
42.0ms	cosTheta_i	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ -1 v)) (exp (/ 1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))))
28.0ms	cosTheta_i	@	-inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ -1 v)) (exp (/ 1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))))
26.0ms	cosTheta_O	@	0	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ -1 v)) (exp (/ 1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))))
24.0ms	cosTheta_O	@	-inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ -1 v)) (exp (/ 1 v)) (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v)) (cosh (/ -1 v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))))

simplify147.0ms (1%)

Memory

-1.9MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	568	2528
1	1959	2180
2	6875	2144
0	8125	2099

Stop Event

1×	iter limit
1×	node limit

Counts

89 → 89

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 v v)))
(* -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_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 sinTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (*.f32 sinTheta_O cosTheta_i)) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(-.f32 (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 v v))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (pow.f32 v #s(literal 3 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 (.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_O sinTheta_i)) sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) sinTheta_i (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (pow.f32 v #s(literal 5 binary32)))) (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) sinTheta_i (.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) sinTheta_i (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 v v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 sinTheta_i cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.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))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) v)
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (- (* -2 (log (E))) 2) 2)) (+ (/ (* (- (* -4/3 (pow (log (E)) 3)) 4/3) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2))))) (- (* -2 (log (E))) 2))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 (.f32 #s(literal 1/6 binary32) (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 sinTheta_O #s(literal 3 binary32)))) (/.f32 cosTheta_i #s(literal -4 binary32))) cosTheta_O (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 4 binary32)) #s(literal 2/3 binary32))) v) #s(literal -2 binary32) (.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) #s(literal 2 binary32))) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) v)
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1/2 binary32)) v)) v))
(+ 1 (* -1 (/ (+ (* -2 (log (E))) (* -2 (/ (pow (log (E)) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ (* -2 (log (E))) (* -1 (/ (+ (* 4/3 (/ (pow (log (E)) 3) v)) (* 2 (pow (log (E)) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(* -1/2 (- (* -2 (log (E))) 2))
#s(literal 2 binary32)
(+ (* -1/2 (- (* -2 (log (E))) 2)) (* 1/2 (/ (- (* 2 (pow (log (E)) 2)) 2) v)))
#s(literal 2 binary32)
(+ (* -1 (/ (+ (* -1/2 (- (* 2 (pow (log (E)) 2)) 2)) (* 1/2 (/ (- (* -4/3 (pow (log (E)) 3)) (+ 4/3 (* 1/2 (- (* -2 (log (E))) 2)))) v))) v)) (* -1/2 (- (* -2 (log (E))) 2)))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -4/3 (pow (log (E)) 3)) (+ 4/3 (* 1/2 (- (* -2 (log (E))) 2))))) (* 1/2 (/ (- (* 2/3 (pow (log (E)) 4)) (+ 2/3 (* 1/2 (- (* 2 (pow (log (E)) 2)) 2)))) v))) v)) (* -1/2 (- (* 2 (pow (log (E)) 2)) 2))) v)) (* -1/2 (- (* -2 (log (E))) 2)))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))

rewrite167.0ms (1.2%)

Memory

4.2MiB live, 208.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	221
0	85	245
1	279	220
2	1901	180
0	8710	180

Stop Event

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

Counts

20 → 987

Calls

Call 1

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

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

eval125.0ms (0.9%)

Memory: -15.0MiB live, 301.4MiB allocated
Compiler: Compiled 41 458 to 3 859 computations (90.7% saved)

prune182.0ms (1.3%)

Memory

15.7MiB live, 175.7MiB allocated

Pruning

72 alts after pruning (68 fresh and 4 done)

	Pruned	Kept	Total
New	1 127	59	1 186
Fresh	15	9	24
Picked	2	3	5
Done	0	1	1
Total	1 144	72	1 216

Accuracy

100.0%

Counts

1 216 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	95.8%	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	98.2%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i 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)))) v)
	98.7%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_i 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)))))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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))
	74.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) (-.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)))))
	98.8%	(/.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)))
	98.6%	(/.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)))
✓	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))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)))
	98.0%	(/.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) (*.f32 (-.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.7%	(/.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 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.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 (pow.f32 (exp.f32 #s(literal 3 binary32)) (.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.3%	(/.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 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v))) (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)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (-.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -1/2 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	72.3%	(/.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 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
	66.2%	(/.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 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v)) v)))
✓	60.6%	(/.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)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	72.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	60.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.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))
	95.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))) (.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) v)))
	98.7%	(/.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 v (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
▶	99.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v))))
	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 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 1/2 binary32))))
✓	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	72.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	60.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.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))
	94.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	94.9%	(/.f32 #s(literal 1 binary32) (/.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 (.f32 cosTheta_i cosTheta_O) v)))
	93.7%	(/.f32 #s(literal 1 binary32) (.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)))) v))
	61.5%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	96.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O v))
	97.4%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) v)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
	98.5%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.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)))))
▶	98.7%	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O))
	96.9%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) v)))
	98.8%	(.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
▶	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 4 492 to 3 542 computations (21.1% saved)

simplify1.1s (7.5%)

Memory

11.5MiB live, 85.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)))
cost-diff	320	(/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 sinTheta_i v)
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_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
cost-diff	0	(/.f32 (neg.f32 sinTheta_i) v)
cost-diff	0	(exp.f32 sinTheta_O)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	64	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	488
0	117	501
1	229	465
2	732	454
3	4248	454
0	8415	454

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.3%)

Memory

-7.3MiB live, 182.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.37728500976844204	(/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.762824220095757	(cosh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.2227883317884631	(sinh.f32 (/.f32 #s(literal 2 binary32) v))
accuracy	0.13671875	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.20703125	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.34765625	(/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.12890625	(/.f32 (/.f32 v cosTheta_O) cosTheta_i)
accuracy	0.16015625	(.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
accuracy	1.312430202176806	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
accuracy	23.138749284548126	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.0390625	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	12.618588599418139	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3209126218519596	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.32421875	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

136.0ms

256×

valid

Compiler

Compiled 932 to 141 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 35.0ms (31.9% of total)

ival-mult: 26.0ms (23.7% of total)

ival-pow: 17.0ms (15.5% of total)

ival-e: 13.0ms (11.8% of total)

ival-exp: 7.0ms (6.4% of total)

ival-sinh: 4.0ms (3.6% of total)

ival-cosh: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series1.4s (10%)

Memory

31.8MiB live, 532.8MiB allocated

Counts

26 → 126

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ v (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ sinTheta_i v))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+ cosTheta_i (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(/ sinTheta_i 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)))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -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 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ 1 sinTheta_O)
(+ 1 (* sinTheta_O (+ 1 (* 1/2 sinTheta_O))))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(exp sinTheta_O)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))
(* 1/2 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (+ (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (+ 2 (* 2 (log (E)))) 2)) (+ (/ (* (+ 4/3 (* 4/3 (pow (log (E)) 3))) (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2)))) (+ 2 (* 2 (log (E))))) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E)))))))) (+ 2 (* 2 (log (E)))))))) (pow v 3)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 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))))))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ 1 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 (/ v (* cosTheta_O cosTheta_i)))
(* v (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* v (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6)))))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) 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)
(/ (+ 2 (* 4/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 4/15 (pow v 4)) (* 4/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 4/15 (pow v 4)) (+ (* 4/3 (/ 1 (pow v 2))) (* 8/315 (/ 1 (pow v 6)))))) v)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (- (* -2 (log (E))) 2) 2)) (+ (/ (* (- (* -4/3 (pow (log (E)) 3)) 4/3) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2))))) (- (* -2 (log (E))) 2))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (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)))
(+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -1 (/ (- (* -1 (/ (+ 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 (/ (+ (* 1/3 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* -1 (* v (- (* -1 (/ (+ (* 1/60 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* 4/15 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 4/15 (* 8/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 4/3 (/ 1 (pow v 2))))) v))

Calls

15 calls:

Time	Variable		Point	Expression
308.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (/ sinTheta_i v) (/ (* 2 (sinh (/ 2 v))) (* (cosh (/ -1 v)) 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i)) (/ (/ v cosTheta_O) cosTheta_i) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 2 v)) (cosh (/ -1 v)))
299.0ms	cosTheta_O	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (/ sinTheta_i v) (/ (* 2 (sinh (/ 2 v))) (* (cosh (/ -1 v)) 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i)) (/ (/ v cosTheta_O) cosTheta_i) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 2 v)) (cosh (/ -1 v)))
291.0ms	cosTheta_O	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (/ sinTheta_i v) (/ (* 2 (sinh (/ 2 v))) (* (cosh (/ -1 v)) 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i)) (/ (/ v cosTheta_O) cosTheta_i) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 2 v)) (cosh (/ -1 v)))
103.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (/ sinTheta_i v) (/ (* 2 (sinh (/ 2 v))) (* (cosh (/ -1 v)) 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i)) (/ (/ v cosTheta_O) cosTheta_i) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 2 v)) (cosh (/ -1 v)))
102.0ms	sinTheta_O	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (pow (exp sinTheta_O) (/ sinTheta_i v)) (/ sinTheta_i v) (/ (* 2 (sinh (/ 2 v))) (* (cosh (/ -1 v)) 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i)) (/ (/ v cosTheta_O) cosTheta_i) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (sinh (/ 2 v)) (cosh (/ -1 v)))

simplify219.0ms (1.5%)

Memory

18.6MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	908	4419
1	3043	3971
0	8648	3833

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 125

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ v (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ sinTheta_i v))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+ cosTheta_i (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(/ sinTheta_i 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)))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -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 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ 1 sinTheta_O)
(+ 1 (* sinTheta_O (+ 1 (* 1/2 sinTheta_O))))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(exp sinTheta_O)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))
(* 1/2 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (+ (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (+ 2 (* 2 (log (E)))) 2)) (+ (/ (* (+ 4/3 (* 4/3 (pow (log (E)) 3))) (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2)))) (+ 2 (* 2 (log (E))))) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E)))))))) (+ 2 (* 2 (log (E)))))))) (pow v 3)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
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(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ 1 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 (/ v (* cosTheta_O cosTheta_i)))
(* v (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* v (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6)))))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) 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)
(/ (+ 2 (* 4/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 4/15 (pow v 4)) (* 4/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 4/15 (pow v 4)) (+ (* 4/3 (/ 1 (pow v 2))) (* 8/315 (/ 1 (pow v 6)))))) v)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (- (* -2 (log (E))) 2) 2)) (+ (/ (* (- (* -4/3 (pow (log (E)) 3)) 4/3) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2))))) (- (* -2 (log (E))) 2))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (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)))
(+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -1 (/ (- (* -1 (/ (+ 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 (/ (+ (* 1/3 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* -1 (* v (- (* -1 (/ (+ (* 1/60 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* 4/15 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 4/15 (* 8/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 4/3 (/ 1 (pow v 2))))) v))

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* 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_i v) (/.f32 cosTheta_O 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_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O 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)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))
(/ v (* cosTheta_O cosTheta_i))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
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(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_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 1 sinTheta_O)
(+.f32 #s(literal 1 binary32) sinTheta_O)
(+ 1 (* sinTheta_O (+ 1 (* 1/2 sinTheta_O))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))
(+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(fma.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_i (/.f32 sinTheta_i v))) sinTheta_O cosTheta_i)
(+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/3 binary32) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) sinTheta_i) v)) sinTheta_i) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) sinTheta_i) v))) sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))) sinTheta_O cosTheta_i)
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.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_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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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)
(/ (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
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(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 2 v)) (/ 1 (exp (/ 2 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(* 1/2 (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
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(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 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_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v))) (neg.f32 v))) v))
(+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v)) #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(-.f32 cosTheta_i (/.f32 (+.f32 (/.f32 (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 1/3 binary32) (fma.f32 sinTheta_O (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) #s(literal -1/2 binary32)) sinTheta_i) v) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) #s(literal 1/2 binary32)))) (neg.f32 v)) (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) 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_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v))) v))) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) #s(literal -1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 1/3 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(.f32 (neg.f32 v) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 (.f32 v v) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(* -1 (* v (- (* -1 (/ (+ (* 1/60 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))))
(.f32 (neg.f32 v) (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 (.f32 (.f32 v v) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/60 binary32) (.f32 cosTheta_i cosTheta_O)))) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 (.f32 v v) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_O (*.f32 v v)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_O #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32))) sinTheta_i (.f32 #s(literal 1/6 binary32) (fma.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) sinTheta_i) sinTheta_O)) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) #s(literal -1/2 binary32))) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 4/3 (* 4/15 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 4/15 binary32) (*.f32 v v)) #s(literal 4/3 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 4/15 (* 8/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 4/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 8/315 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -4/15 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 4/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))

rewrite211.0ms (1.5%)

Memory

-20.4MiB live, 208.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	275
0	113	275
1	379	250
2	2566	241
0	8748	241

Stop Event

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

Counts

26 → 1 217

Calls

Call 1

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

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

eval157.0ms (1.1%)

Memory: 15.4MiB live, 319.5MiB allocated
Compiler: Compiled 44 446 to 5 017 computations (88.7% saved)

prune134.0ms (0.9%)

Memory

-1.8MiB live, 275.7MiB allocated

Pruning

80 alts after pruning (75 fresh and 5 done)

	Pruned	Kept	Total
New	1 297	34	1 331
Fresh	22	41	63
Picked	3	2	5
Done	1	3	4
Total	1 323	80	1 403

Accuracy

100.0%

Counts

1 403 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	95.8%	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	98.7%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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))
	74.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) (-.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)))))
	98.8%	(/.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)))
	98.6%	(/.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)))
✓	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))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.3%	(/.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 (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.0%	(/.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) (*.f32 (-.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	97.7%	(/.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 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.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 (pow.f32 (exp.f32 #s(literal 3 binary32)) (.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.3%	(/.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 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (pow.f32 (E.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v))) (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)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (-.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 (/.f32 #s(literal -2 binary32) v) #s(literal -1/2 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	60.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_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 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.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)) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.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))
	95.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))) (.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) v)))
▶	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (/.f32 #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)))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
✓	99.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
	98.7%	(/.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 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 1/2 binary32))))
✓	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (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))) (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))))
▶	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (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 (/.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))
	98.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
	98.7%	(/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	94.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	95.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))) (*.f32 cosTheta_i cosTheta_O)))
	93.7%	(/.f32 #s(literal 1 binary32) (.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)))) v))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	96.9%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 v (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.4%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) v)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
	98.5%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.6%	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) #s(literal -1 binary32))))
	98.4%	(.f32 (/.f32 cosTheta_i (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O))
	98.8%	(.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	98.6%	(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.6%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	51.1%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
	98.4%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
	61.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))))
	61.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
▶	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
✓	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.2%	#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))

Compiler

Compiled 5 361 to 4 079 computations (23.9% saved)

simplify105.0ms (0.7%)

Memory

-16.7MiB live, 175.8MiB 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	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) (*.f32 (-.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
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 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	192	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
cost-diff	0	(*.f32 cosTheta_i #s(literal 1/2 binary32))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
cost-diff	544	(/.f32 (*.f32 (/.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))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	524
0	113	516
1	218	477
2	650	477
3	4185	477
4	7480	477
0	8072	477

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (1.4%)

Memory

3.4MiB live, 277.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(-.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.28347136208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.7736929925456256	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	1.6613313696072007	(pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v))
accuracy	0.23828125	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.32421875	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.12890625	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
accuracy	0.205410009768442	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
accuracy	0.2581825683790941	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	23.138749284548126	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.0	(*.f32 cosTheta_i #s(literal 1/2 binary32))
accuracy	0.140625	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
accuracy	12.618588599418139	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
accuracy	0.28125	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.3209126218519596	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.32421875	(/.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))
accuracy	0.8369267695356238	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

155.0ms

256×

valid

Compiler

Compiled 1 010 to 137 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 49.0ms (43.3% of total)

ival-mult: 25.0ms (22.1% of total)

ival-pow: 12.0ms (10.6% of total)

ival-e: 8.0ms (7.1% of total)

ival-exp: 7.0ms (6.2% of total)

ival-cosh: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

ival-sinh: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series337.0ms (2.3%)

Memory

14.1MiB live, 532.7MiB allocated

Counts

21 → 70

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i v)
(/ cosTheta_O v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (* 2 (/ (log (sqrt (E))) v)))
(exp (/ -1 v))
(- (exp (* 2 (/ (log (sqrt (E))) v))) (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))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (+ (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (+ 2 (* 2 (log (E)))) 2)) (+ (/ (* (+ 4/3 (* 4/3 (pow (log (E)) 3))) (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2)))) (+ 2 (* 2 (log (E))))) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E)))))))) (+ 2 (* 2 (log (E)))))))) (pow v 3)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
1
(+ 1 (* 2 (/ (log (sqrt (E))) v)))
(+ 1 (+ (* 2 (/ (log (sqrt (E))) v)) (* 2 (/ (pow (log (sqrt (E))) 2) (pow v 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 3))) (+ (* 2 (/ (log (sqrt (E))) v)) (* 2 (/ (pow (log (sqrt (E))) 2) (pow v 2))))))
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(/ (+ 1 (* 2 (log (sqrt (E))))) v)
(/ (- (+ 1 (+ (* 2 (log (sqrt (E)))) (* 2 (/ (pow (log (sqrt (E))) 2) v)))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 2))) (+ (* 2 (log (sqrt (E)))) (+ (* 2 (/ (pow (log (sqrt (E))) 2) v)) (/ 1/6 (pow v 2)))))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (* 2/3 (/ (pow (log (sqrt (E))) 4) (pow v 3))) (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 2))) (+ (* 2 (log (sqrt (E)))) (+ (* 2 (/ (pow (log (sqrt (E))) 2) v)) (/ 1/6 (pow v 2))))))) (+ (* 1/2 (/ 1 v)) (* 1/24 (/ 1 (pow v 3))))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (- (* -2 (log (E))) 2) 2)) (+ (/ (* (- (* -4/3 (pow (log (E)) 3)) 4/3) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2))))) (- (* -2 (log (E))) 2))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -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 (log (sqrt (E)))) (* -2 (/ (pow (log (sqrt (E))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -2 (log (sqrt (E)))) (* -1 (/ (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) v)) (* 2 (pow (log (sqrt (E))) 2))) v))) v)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -2 (log (sqrt (E)))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (* 2 (pow (log (sqrt (E))) 2)) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (sqrt (E))) 3)) 1/6) v)) (* 2 (pow (log (sqrt (E))) 2))) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (sqrt (E))) 3)) (* -1 (/ (- (* 2/3 (pow (log (sqrt (E))) 4)) 1/24) v))) 1/6) v)) (* 2 (pow (log (sqrt (E))) 2))) 1/2) v))) 1) v))

Calls

15 calls:

Time	Variable		Point	Expression
50.0ms	cosTheta_i	@	inf	((/ 1 (/ 1 (sinh (/ 1 v)))) (/ (* (/ 1 (/ 1 (sinh (/ 1 v)))) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* (/ cosTheta_O v) (* cosTheta_i 1/2)) (/ cosTheta_O v) (* cosTheta_i 1/2) (/ cosTheta_i (/ v cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* sinTheta_i sinTheta_O) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (- (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v))))
44.0ms	cosTheta_i	@	-inf	((/ 1 (/ 1 (sinh (/ 1 v)))) (/ (* (/ 1 (/ 1 (sinh (/ 1 v)))) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* (/ cosTheta_O v) (* cosTheta_i 1/2)) (/ cosTheta_O v) (* cosTheta_i 1/2) (/ cosTheta_i (/ v cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* sinTheta_i sinTheta_O) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (- (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v))))
41.0ms	cosTheta_O	@	0	((/ 1 (/ 1 (sinh (/ 1 v)))) (/ (* (/ 1 (/ 1 (sinh (/ 1 v)))) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* (/ cosTheta_O v) (* cosTheta_i 1/2)) (/ cosTheta_O v) (* cosTheta_i 1/2) (/ cosTheta_i (/ v cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* sinTheta_i sinTheta_O) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (- (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v))))
37.0ms	cosTheta_O	@	-inf	((/ 1 (/ 1 (sinh (/ 1 v)))) (/ (* (/ 1 (/ 1 (sinh (/ 1 v)))) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* (/ cosTheta_O v) (* cosTheta_i 1/2)) (/ cosTheta_O v) (* cosTheta_i 1/2) (/ cosTheta_i (/ v cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* sinTheta_i sinTheta_O) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (- (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v))))
27.0ms	cosTheta_O	@	inf	((/ 1 (/ 1 (sinh (/ 1 v)))) (/ (* (/ 1 (/ 1 (sinh (/ 1 v)))) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (* (/ cosTheta_O v) (* cosTheta_i 1/2)) (/ cosTheta_O v) (* cosTheta_i 1/2) (/ cosTheta_i (/ v cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* sinTheta_i sinTheta_O) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (- (pow (sqrt (E)) (/ 2 v)) (exp (/ -1 v))))

simplify154.0ms (1.1%)

Memory

26.9MiB live, 214.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	2532
1	1785	2185
2	6656	2146
0	8466	2081

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 70

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i v)
(/ cosTheta_O v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 3) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))) (* (pow v 5) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* (pow v 4) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))) (* (pow v 2) (- (exp (* 2 (/ (log (E)) v))) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (* 2 (/ (log (sqrt (E))) v)))
(exp (/ -1 v))
(- (exp (* 2 (/ (log (sqrt (E))) v))) (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))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (log (E)))))))
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))))) v)
(/ (+ (* 2 (/ (* cosTheta_O cosTheta_i) (+ 2 (* 2 (log (E)))))) (+ (* 2 (/ (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) v)) (+ (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E))))))) (pow v 2))) (* 2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (+ 2 (* 2 (log (E)))) 2)) (+ (/ (* (+ 4/3 (* 4/3 (pow (log (E)) 3))) (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2)))) (+ 2 (* 2 (log (E))))) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ 2 (* 2 (log (E))))) (+ (/ (* cosTheta_O (* cosTheta_i (+ 4/3 (* 4/3 (pow (log (E)) 3))))) (pow (+ 2 (* 2 (log (E)))) 2)) (/ (* (- (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 2 (* 2 (log (E)))))) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (+ 2 (* 2 (log (E)))) 2))) (- (* 2 (pow (log (E)) 2)) 2)) (+ 2 (* 2 (log (E)))))))) (+ 2 (* 2 (log (E)))))))) (pow v 3)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
1
(+ 1 (* 2 (/ (log (sqrt (E))) v)))
(+ 1 (+ (* 2 (/ (log (sqrt (E))) v)) (* 2 (/ (pow (log (sqrt (E))) 2) (pow v 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 3))) (+ (* 2 (/ (log (sqrt (E))) v)) (* 2 (/ (pow (log (sqrt (E))) 2) (pow v 2))))))
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(/ (+ 1 (* 2 (log (sqrt (E))))) v)
(/ (- (+ 1 (+ (* 2 (log (sqrt (E)))) (* 2 (/ (pow (log (sqrt (E))) 2) v)))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 2))) (+ (* 2 (log (sqrt (E)))) (+ (* 2 (/ (pow (log (sqrt (E))) 2) v)) (/ 1/6 (pow v 2)))))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1 (+ (* 2/3 (/ (pow (log (sqrt (E))) 4) (pow v 3))) (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) (pow v 2))) (+ (* 2 (log (sqrt (E)))) (+ (* 2 (/ (pow (log (sqrt (E))) 2) v)) (/ 1/6 (pow v 2))))))) (+ (* 1/2 (/ 1 v)) (* 1/24 (/ 1 (pow v 3))))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -2 (log (E))) 2))))
(* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* 2/3 (pow (log (E)) 4)) 2/3))) (pow (- (* -2 (log (E))) 2) 2)) (+ (/ (* (- (* -4/3 (pow (log (E)) 3)) 4/3) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2))))) (- (* -2 (log (E))) 2))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (- (* -2 (log (E))) 2)) (+ (/ (* cosTheta_O (* cosTheta_i (- (* -4/3 (pow (log (E)) 3)) 4/3))) (pow (- (* -2 (log (E))) 2) 2)) (/ (* (- (* 2 (pow (log (E)) 2)) 2) (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2)))) (- (* -2 (log (E))) 2)))))) v)) (* 2 (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (* -2 (log (E))) 2)) (/ (* cosTheta_O (* cosTheta_i (- (* 2 (pow (log (E)) 2)) 2))) (pow (- (* -2 (log (E))) 2) 2))))) v)) (* 2 (/ (* cosTheta_O cosTheta_i) (- (* -2 (log (E))) 2)))) v))
(* -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 (log (sqrt (E)))) (* -2 (/ (pow (log (sqrt (E))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -2 (log (sqrt (E)))) (* -1 (/ (+ (* 4/3 (/ (pow (log (sqrt (E))) 3) v)) (* 2 (pow (log (sqrt (E))) 2))) v))) v)))
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(* -1 (/ (- (* -2 (log (sqrt (E)))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (* 2 (pow (log (sqrt (E))) 2)) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (sqrt (E))) 3)) 1/6) v)) (* 2 (pow (log (sqrt (E))) 2))) 1/2) v))) 1) v))
(* -1 (/ (- (+ (* -2 (log (sqrt (E)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (sqrt (E))) 3)) (* -1 (/ (- (* 2/3 (pow (log (sqrt (E))) 4)) 1/24) v))) 1/6) v)) (* 2 (pow (log (sqrt (E))) 2))) 1/2) v))) 1) v))

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

rewrite186.0ms (1.3%)

Memory

-29.9MiB live, 262.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	219
0	103	209
1	338	175
2	2082	175
0	8433	175

Stop Event

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

Counts

21 → 874

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
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(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))))
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))) (neg.f32 (.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))) (*.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(/.f32 #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (-.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(-.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) (/.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2 binary32) v)) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 6 binary32)) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(-.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(-.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 3/2 binary32)) (/.f32 #s(literal 2 binary32) v)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/6 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 #s(literal 1/6 binary32)) (/.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))

eval98.0ms (0.7%)

Memory: 18.5MiB live, 292.0MiB allocated
Compiler: Compiled 34 774 to 3 439 computations (90.1% saved)

prune158.0ms (1.1%)

Memory

6.0MiB live, 289.0MiB allocated

Pruning

89 alts after pruning (82 fresh and 7 done)

	Pruned	Kept	Total
New	909	19	928
Fresh	7	63	70
Picked	3	2	5
Done	0	5	5
Total	919	89	1 008

Accuracy

100.0%

Counts

1 008 → 89

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	95.8%	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 v (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	98.7%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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 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)))
	74.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) #s(approx (pow (exp -1) (/ 2 v)) (-.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)))))
	98.8%	(/.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)))
	98.6%	(/.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)))
✓	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))
	66.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	50.0%	(/.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) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.3%	(/.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 (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.0%	(/.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) (*.f32 (-.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	97.7%	(/.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 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.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 (pow.f32 (exp.f32 #s(literal 3 binary32)) (.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.3%	(/.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 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.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)) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.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))
	95.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))) (.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 2 binary32) v)))
	98.7%	(/.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 (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (sqrt.f32 (.f32 #s(literal 2 binary32) (+.f32 (cosh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -2 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))) (cosh.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	99.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
✓	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (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))) (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))))
✓	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (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 (/.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))
	98.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
	98.7%	(/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	61.3%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	94.9%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	95.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v))) (*.f32 cosTheta_i cosTheta_O)))
	93.7%	(/.f32 #s(literal 1 binary32) (.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)))) v))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	96.9%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (/.f32 v (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.4%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) v)) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
	98.5%	(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.6%	(.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(.f32 (/.f32 cosTheta_i (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O))
	98.8%	(.f32 (.f32 (.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))))
	98.6%	(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.6%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	51.1%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
	98.4%	#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	61.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))))
	61.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
✓	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
	60.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
	59.2%	#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))

Compiler

Compiled 8 031 to 3 105 computations (61.3% saved)

regimes398.0ms (2.7%)

Memory

-18.5MiB live, 447.4MiB allocated

Counts

142 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

62.0ms	v
51.0ms	sinTheta_O
51.0ms	(*.f32 sinTheta_i sinTheta_O)
47.0ms	cosTheta_i
39.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
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)

regimes194.0ms (1.3%)

Memory

-9.1MiB live, 217.1MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.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 (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(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 cosTheta_i (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.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 #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 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))

Outputs

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

Calls

8 calls:

59.0ms	cosTheta_i
27.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
20.0ms	sinTheta_O
19.0ms	v
19.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes179.0ms (1.2%)

Memory

-2.8MiB live, 226.6MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.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 (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(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 cosTheta_i (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.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 #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))

Outputs

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

Calls

8 calls:

37.0ms	cosTheta_O
31.0ms	cosTheta_i
21.0ms	sinTheta_O
20.0ms	v
20.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes136.0ms (0.9%)

Memory

39.8MiB live, 228.6MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.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 (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

27.0ms	cosTheta_O
19.0ms	(/.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))
17.0ms	v
16.0ms	(*.f32 sinTheta_i sinTheta_O)
15.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes128.0ms (0.9%)

Memory

-35.1MiB live, 181.1MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.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 (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

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

Calls

8 calls:

23.0ms	(*.f32 cosTheta_i cosTheta_O)
17.0ms	sinTheta_i
16.0ms	cosTheta_i
15.0ms	cosTheta_O
14.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes103.0ms (0.7%)

Memory

-10.4MiB live, 226.0MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 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)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) (.f32 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i #s(literal 4 binary32)) (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -4 binary32)) #s(literal 0 binary32)) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) v) #s(literal -2 binary32))) (neg.f32 v)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (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))) (.f32 #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.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 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) v)) #s(literal 1/2 binary32))) v))
#s(approx (* (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (/ (/ cosTheta_O v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal -1/6 binary32)))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v))))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (/.f32 cosTheta_i #s(literal -4 binary32)) (.f32 cosTheta_i #s(literal 1/6 binary32)))) v) #s(literal -2 binary32) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -4 binary32)) #s(literal 2 binary32))) v)) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.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 (/ ( (- (pow (E) (/ 2 v)) (pow (exp -1) (/ 2 v))) v) (* 2 (cosh (/ -1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 #s(approx (/ cosTheta_i (pow (exp sinTheta_O) (/ sinTheta_i v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i #s(approx (pow (exp sinTheta_O) (/ sinTheta_i 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_O sinTheta_i)) v)))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal 1/3 binary32)) v) v)) (neg.f32 v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* (* (sinh (/ 1 v)) 2) v) (/ (/ v cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Outputs

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

Calls

8 calls:

14.0ms	cosTheta_i
13.0ms	sinTheta_i
13.0ms	cosTheta_O
12.0ms	v
12.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes92.0ms (0.6%)

Memory

19.0MiB live, 175.7MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

15.0ms	cosTheta_O
12.0ms	sinTheta_O
12.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	(*.f32 sinTheta_i sinTheta_O)
10.0ms	sinTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes85.0ms (0.6%)

Memory

16.4MiB live, 100.7MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

17.0ms	sinTheta_i
14.0ms	(*.f32 sinTheta_i sinTheta_O)
9.0ms	v
9.0ms	cosTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
66.2%	1	`cosTheta_i`
66.2%	1	`cosTheta_O`
66.2%	1	`sinTheta_i`
66.2%	1	`sinTheta_O`
66.2%	1	`v`
66.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
66.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes79.0ms (0.5%)

Memory

-31.8MiB live, 122.1MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

10.0ms	sinTheta_i
10.0ms	v
8.0ms	cosTheta_O
8.0ms	sinTheta_O
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
61.3%	1	`cosTheta_i`
61.3%	1	`v`
61.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.3%	1	`cosTheta_O`
61.3%	1	`sinTheta_i`
61.3%	1	`sinTheta_O`
61.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes40.0ms (0.3%)

Memory

32.2MiB live, 70.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

6.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	v
5.0ms	cosTheta_O
5.0ms	sinTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.3%	1	`cosTheta_O`
61.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
61.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
61.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.3%	1	`sinTheta_i`
61.3%	1	`cosTheta_i`
61.3%	1	`sinTheta_O`
61.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes29.0ms (0.2%)

Memory

-18.3MiB live, 59.0MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

4.0ms	sinTheta_O
4.0ms	(/.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))
3.0ms	cosTheta_O
3.0ms	v
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.6%	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))`
60.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.6%	1	`cosTheta_O`
60.6%	1	`cosTheta_i`
60.6%	1	`sinTheta_i`
60.6%	1	`sinTheta_O`
60.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify87.0ms (0.6%)

Memory

1.4MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	344
1	156	344
2	186	344
3	207	344
4	246	344
5	293	344
6	360	344
7	463	344
8	574	344
9	733	344
10	1019	344
11	1361	344
12	1648	344
13	1857	344
14	1967	344
15	2000	344
16	2008	344
17	2009	344
18	2009	344

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (9.5%)

Memory

-60.2MiB live, 863.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	275
0	113	275
1	379	250
2	2566	241
0	8748	241
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	908	4419
1	3043	3971
0	8648	3833
0	49	221
0	85	245
1	279	220
2	1901	180
0	8710	180
0	568	2528
1	1959	2180
2	6875	2144
0	8125	2099
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31

Stop Event

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

Compiler

Compiled 1 119 to 543 computations (51.5% saved)

preprocess342.0ms (2.4%)

Memory

-30.7MiB live, 457.3MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 3 020 to 1 922 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0s (7%)

sample3.2s (22.4%)

explain210.0ms (1.5%)

preprocess147.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify172.0ms (1.2%)

localize47.0ms (0.3%)

series21.0ms (0.1%)

simplify121.0ms (0.8%)

rewrite142.0ms (1%)

eval72.0ms (0.5%)

prune52.0ms (0.4%)

simplify106.0ms (0.7%)

localize144.0ms (1%)

series401.0ms (2.8%)

simplify147.0ms (1%)

rewrite167.0ms (1.2%)

eval125.0ms (0.9%)

prune182.0ms (1.3%)

simplify1.1s (7.5%)

localize194.0ms (1.3%)

series1.4s (10%)

simplify219.0ms (1.5%)

rewrite211.0ms (1.5%)

eval157.0ms (1.1%)

prune134.0ms (0.9%)

simplify105.0ms (0.7%)

localize204.0ms (1.4%)

series337.0ms (2.3%)

simplify154.0ms (1.1%)

rewrite186.0ms (1.3%)

eval98.0ms (0.7%)

prune158.0ms (1.1%)

regimes398.0ms (2.7%)

regimes194.0ms (1.3%)

regimes179.0ms (1.2%)

regimes136.0ms (0.9%)

regimes128.0ms (0.9%)

regimes103.0ms (0.7%)

regimes92.0ms (0.6%)

regimes85.0ms (0.6%)

regimes79.0ms (0.5%)

regimes40.0ms (0.3%)

regimes29.0ms (0.2%)

simplify87.0ms (0.6%)

soundness1.4s (9.5%)

preprocess342.0ms (2.4%)

end0.0ms (0%)

Profiling