Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze700.0ms (4.7%)

Memory

11.9MiB live, 827.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.5s (16.9%)

Memory

99.5MiB live, 3 299.1MiB allocated

Samples

1.9s

8 256×

valid

Precisions

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

ival-mult: 364.0ms (23.6% of total)

ival-div: 315.0ms (20.4% of total)

const: 295.0ms (19.1% of total)

ival-<=: 238.0ms (15.4% of total)

ival-exp: 83.0ms (5.4% of total)

ival-sinh: 76.0ms (4.9% of total)

ival-and: 71.0ms (4.6% of total)

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

ival-<: 20.0ms (1.3% of total)

exact: 17.0ms (1.1% of total)

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

Bogosity

explain318.0ms (2.2%)

Memory

-20.5MiB live, 419.2MiB 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)`
96	(-0.0017214328981935978 -1.8371600202265654e-38 -4.7597109952172105e-24 -6.089922177775249e-21 0.1630007028579712)	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
1	(3.118961515726937e-25 0.00011740480840671808 -2.2757216111557454e-9 2.912755947269777e-30 0.3948579430580139)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
4	(-0.00027404972934164107 1.774561255585643e-35 5.450786262552134e-19 1.8261184369402712e-30 0.18561981618404388)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`	u/n	96	0
↳	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	underflow	78
↳	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	underflow	81
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	84
↳	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`	underflow	78
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80
↳	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`	underflow	81
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	4	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	84
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80

Confusion

	Predicted +	Predicted -
+	0	0
-	101	155

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	101	0	155

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	155
1	101

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 394 to 117 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.3% of total)

ival-div: 14.0ms (33.9% of total)

ival-sinh: 5.0ms (12.1% of total)

ival-exp: 4.0ms (9.7% of total)

ival-neg: 2.0ms (4.8% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

preprocess245.0ms (1.7%)

Memory

3.4MiB live, 195.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.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)

simplify131.0ms (0.9%)

Memory

19.2MiB live, 164.2MiB 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)

localize57.0ms (0.4%)

Memory

30.7MiB live, 67.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

46.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (65.9% of total)

ival-div: 6.0ms (17.2% of total)

ival-exp: 2.0ms (5.7% of total)

ival-sinh: 2.0ms (5.7% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series80.0ms (0.5%)

Memory

-80.3MiB live, 30.4MiB 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
64.0ms	cosTheta_O	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
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))

simplify108.0ms (0.7%)

Memory

21.7MiB live, 130.4MiB 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)

rewrite141.0ms (1%)

Memory

-16.8MiB live, 223.0MiB 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))
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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 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) 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 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)))))

eval91.0ms (0.6%)

Memory: 14.8MiB live, 132.3MiB allocated
Compiler: Compiled 15 893 to 2 427 computations (84.7% saved)

prune56.0ms (0.4%)

Memory

12.0MiB live, 124.6MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	478	37	515
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	478	38	516

Accuracy

99.7%

Counts

516 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(/.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))
	34.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (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)))))
▶	98.7%	(/.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)) (/.f32 #s(literal -1 binary32) v)))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
	98.6%	(/.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)))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 #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))) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))))))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))) #s(literal 2 binary32)) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	63.6%	(/.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) (+.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	57.9%	(/.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) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.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))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_i) #s(literal -1 binary32)))) (.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))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	90.9%	(/.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 2 392 to 1 821 computations (23.9% saved)

simplify88.0ms (0.6%)

Memory

-26.0MiB live, 99.3MiB 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	10880	(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	3584	(pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	544	(/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	553
0	78	493
1	158	467
2	591	467
3	3344	467
4	5203	467
0	8258	467

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (0.9%)

Memory

21.9MiB live, 215.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.5270500488422102	(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.181972509768442	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.25390625	(/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.181972509768442	(/.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	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	23.008690187388112	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3515625	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

87.0ms

256×

valid

Compiler

Compiled 1 104 to 91 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 29.0ms (46.1% of total)

ival-mult: 19.0ms (30.2% of total)

ival-pow: 7.0ms (11.1% of total)

ival-sinh: 4.0ms (6.4% of total)

ival-exp: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series62.0ms (0.4%)

Memory

-22.0MiB live, 93.1MiB allocated

Counts

15 → 55

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
cosTheta_O
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* 1/2 (* (pow (sqrt -1) 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* -1 (/ (pow (sqrt -1) 2) v))
(/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2)))) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))))) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (+ (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (* -1/5040 (/ (pow (sqrt -1) 2) (pow v 6)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* -1 (/ (+ (* -1/2 (* 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 (/ (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)) v))
(* -1 (/ (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2))) v))
(* -1 (/ (+ (* 1/5040 (/ (pow (sqrt -1) 2) (pow v 6))) (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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
11.0ms	v	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_O) -1) (* (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (pow (/ 1 cosTheta_O) -1) (/ cosTheta_i v))) (* (* (sinh (/ 1 v)) 2) v)))
9.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_O) -1) (* (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (pow (/ 1 cosTheta_O) -1) (/ cosTheta_i v))) (* (* (sinh (/ 1 v)) 2) v)))
6.0ms	v	@	0	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_O) -1) (* (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (pow (/ 1 cosTheta_O) -1) (/ cosTheta_i v))) (* (* (sinh (/ 1 v)) 2) v)))
5.0ms	sinTheta_i	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_O) -1) (* (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (pow (/ 1 cosTheta_O) -1) (/ cosTheta_i v))) (* (* (sinh (/ 1 v)) 2) v)))
4.0ms	cosTheta_i	@	0	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v)))) (pow (/ 1 cosTheta_O) -1) (* (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (sinh (/ -1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (pow (/ 1 cosTheta_O) -1) (/ cosTheta_i v))) (* (* (sinh (/ 1 v)) 2) v)))

simplify142.0ms (1%)

Memory

34.9MiB live, 183.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	1322
1	809	1141
2	3041	1055
3	7501	1052
0	8270	1027

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
cosTheta_O
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* 1/2 (* (pow (sqrt -1) 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* -1 (/ (pow (sqrt -1) 2) v))
(/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2)))) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))))) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (+ (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (* -1/5040 (/ (pow (sqrt -1) 2) (pow v 6)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* -1 (/ (+ (* -1/2 (* 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 (/ (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)) v))
(* -1 (/ (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2))) v))
(* -1 (/ (+ (* 1/5040 (/ (pow (sqrt -1) 2) (pow v 6))) (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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 (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cosTheta_O
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 sinTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(* 1/2 (* (pow (sqrt -1) 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 #s(literal -1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 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))))
(+.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))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)))))) v)
(* -1 (/ (pow (sqrt -1) 2) v))
(/.f32 #s(literal 1 binary32) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2)))) v)
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))))) v)
(/.f32 (-.f32 (-.f32 (/.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)
(/ (+ (* -1 (pow (sqrt -1) 2)) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (+ (* -1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (* -1/5040 (/ (pow (sqrt -1) 2) (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)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32)))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 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 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal -1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1 binary32)) 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)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(* -1 (/ (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2))) v))
(/.f32 (-.f32 (-.f32 (/.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)
(* -1 (/ (+ (* 1/5040 (/ (pow (sqrt -1) 2) (pow v 6))) (+ (* 1/120 (/ (pow (sqrt -1) 2) (pow v 4))) (+ (* 1/6 (/ (pow (sqrt -1) 2) (pow v 2))) (pow (sqrt -1) 2)))) 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)
(* -1 (/ (+ 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 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (-.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 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32)))) v v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 3 binary32))))
(* -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)

rewrite165.0ms (1.1%)

Memory

2.8MiB live, 162.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	143
0	68	132
1	209	116
2	1244	116
0	8515	116

Stop Event

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

Counts

15 → 1 099

Calls

Call 1

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

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

eval175.0ms (1.2%)

Memory: 4.4MiB live, 309.5MiB allocated
Compiler: Compiled 50 402 to 4 244 computations (91.6% saved)

prune122.0ms (0.8%)

Memory

21.9MiB live, 218.6MiB allocated

Pruning

59 alts after pruning (58 fresh and 1 done)

	Pruned	Kept	Total
New	1 626	45	1 671
Fresh	19	13	32
Picked	5	0	5
Done	0	1	1
Total	1 650	59	1 709

Accuracy

99.9%

Counts

1 709 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	95.3%	(/.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))
	45.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (neg.f32 v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (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)))))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)))))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
▶	36.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx ( (pow (/ -1 (sinh (/ -1 v))) -1/2) (pow (/ -1 (sinh (/ -1 v))) -1/2)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.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) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	57.9%	(/.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)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #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))
	58.2%	(/.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)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (neg.f32 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)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.8%	(/.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)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.4%	(/.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)) (/.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)) (/.f32 #s(literal -1 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.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))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (.f32 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (sqrt.f32 cosTheta_O))) (/.f32 cosTheta_i 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 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.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)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (sqrt.f32 cosTheta_O) (sqrt.f32 cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	97.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (log.f32 cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	90.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))))
	98.6%	(.f32 (.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 (sqrt.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	98.6%	(.f32 (sqrt.f32 cosTheta_O) (.f32 (*.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	51.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
▶	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 3 352 to 2 697 computations (19.5% saved)

simplify117.0ms (0.8%)

Memory

-22.2MiB live, 141.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O))
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	800	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	192	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v))))
cost-diff	256	(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
cost-diff	0	(/.f32 (*.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	61	506
0	96	504
1	197	463
2	737	451
3	3760	451
4	7751	451
0	8427	451

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

localize150.0ms (1%)

Memory

25.4MiB live, 299.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3515625	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	0.41244125976844204	(*.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3515625	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.39453125	(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
accuracy	25.08007443625519	#s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v))
accuracy	29.518916057818334	(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
accuracy	0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	13.46843901218639	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3105850586106521	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.3515625	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

99.0ms

256×

valid

Compiler

Compiled 980 to 115 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 32.0ms (45.1% of total)

ival-div: 24.0ms (33.8% of total)

const: 4.0ms (5.6% of total)

ival-sinh: 4.0ms (5.6% of total)

ival-exp: 2.0ms (2.8% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-add: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series67.0ms (0.5%)

Memory

-32.9MiB live, 124.9MiB allocated

Counts

19 → 64

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* (sqrt cosTheta_O) (/ 1 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(/ -1/6 v)
(/ (- (pow v 2) 1/6) v)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ -1/6 (pow v 2))
(* 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))))))
(/ (+ (* -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)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -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 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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
7.0ms	cosTheta_i	@	0	((/ (* (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)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (+ (* (/ -1/6 (* v v)) v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/ (sinh (/ 1 v)) (/ 1/2 v)) (* sinTheta_i sinTheta_O) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ -1 (sinh (/ -1 v))) (/ -1/6 (* v v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v))
6.0ms	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)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (+ (* (/ -1/6 (* v v)) v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/ (sinh (/ 1 v)) (/ 1/2 v)) (* sinTheta_i sinTheta_O) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ -1 (sinh (/ -1 v))) (/ -1/6 (* v v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v))
6.0ms	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)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (+ (* (/ -1/6 (* v v)) v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/ (sinh (/ 1 v)) (/ 1/2 v)) (* sinTheta_i sinTheta_O) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ -1 (sinh (/ -1 v))) (/ -1/6 (* v v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v))
6.0ms	v	@	0	((/ (* (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)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (+ (* (/ -1/6 (* v v)) v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/ (sinh (/ 1 v)) (/ 1/2 v)) (* sinTheta_i sinTheta_O) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ -1 (sinh (/ -1 v))) (/ -1/6 (* v v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v))
5.0ms	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)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (+ (* (/ -1/6 (* v v)) v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/ (sinh (/ 1 v)) (/ 1/2 v)) (* sinTheta_i sinTheta_O) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ -1 (sinh (/ -1 v))) (/ -1/6 (* v v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v))

simplify200.0ms (1.4%)

Memory

19.8MiB live, 212.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	1766
1	1029	1676
2	4061	1515
3	7814	1515
0	8292	1473

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(* (sqrt cosTheta_O) (/ 1 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(/ -1/6 v)
(/ (- (pow v 2) 1/6) v)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ -1/6 (pow v 2))
(* 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))))))
(/ (+ (* -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)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -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 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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_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))
(* 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)
(* -1 (/ (* 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))
(* (sqrt cosTheta_O) (/ 1 v))
(/.f32 (sqrt.f32 cosTheta_O) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(/.f32 (sqrt.f32 cosTheta_O) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.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)))) #s(literal -1/6 binary32))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -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 sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.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)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32)))) sinTheta_O) sinTheta_O))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ -1/6 v)
(/.f32 #s(literal -1/6 binary32) v)
(/ (- (pow v 2) 1/6) v)
(-.f32 v (/.f32 #s(literal 1/6 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)
(* 1/2 (- (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))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ -1/6 (pow v 2))
(/.f32 (/.f32 #s(literal -1/6 binary32) v) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#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))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_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))) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)))))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) v v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O (fma.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 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))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) #s(literal 1 binary32)) v)
(/ (- (* -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)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) #s(literal 1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32)))) v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 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 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.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 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) 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))
(/.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 (*.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 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) 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 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.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 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) #s(literal 1 binary32))) v)
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 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)

rewrite345.0ms (2.3%)

Memory

-171.3MiB live, 221.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	175
0	86	169
1	260	161
2	1519	152
0	8677	152

Stop Event

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

Counts

19 → 868

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

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

eval118.0ms (0.8%)

Memory: 10.6MiB live, 239.2MiB allocated
Compiler: Compiled 38 652 to 3 645 computations (90.6% saved)

prune165.0ms (1.1%)

Memory

-8.1MiB live, 283.9MiB allocated

Pruning

93 alts after pruning (89 fresh and 4 done)

	Pruned	Kept	Total
New	1 097	54	1 151
Fresh	18	35	53
Picked	2	3	5
Done	0	1	1
Total	1 117	93	1 210

Accuracy

99.9%

Counts

1 210 → 93

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.3%	(/.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))
	46.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (neg.f32 v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)))))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
	36.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) v v))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (neg.f32 v) v)) v v))))
✓	36.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v))))
	37.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 v v) #s(literal 6 binary32))) v v))))
	36.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 v (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v))))
	36.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) v) v))))
	36.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1 binary32) v) v))))
	36.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) v) v))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal -1/6 binary32) v) v) #s(literal 1 binary32) (.f32 v v)) v))))
	38.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 v v) #s(literal 6 binary32) #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 v #s(literal -6 binary32)))))))
	37.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 v v) #s(literal -6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6 binary32)))))))
	37.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 v) v) #s(literal 1 binary32))) (.f32 (*.f32 (neg.f32 v) v) (/.f32 #s(literal 1 binary32) v))))))
	37.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) #s(literal 1 binary32) (.f32 (.f32 (neg.f32 v) v) v)) (.f32 (*.f32 (neg.f32 v) v) #s(literal 1 binary32))))))
	36.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) (.f32 (.f32 (neg.f32 v) v) (neg.f32 v))) (.f32 (*.f32 (neg.f32 v) v) #s(literal -1 binary32))))))
	35.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (neg.f32 v) (.f32 (neg.f32 v) v) (.f32 #s(literal -1 binary32) (.f32 #s(literal 1/6 binary32) v))) (.f32 v v)))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (neg.f32 v) v (*.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (neg.f32 v)))))
	38.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 v (.f32 (.f32 v v) #s(literal -6 binary32)) v) (.f32 (.f32 v v) #s(literal -6 binary32))))))
▶	33.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
	56.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (+.f32 (/.f32 #s(literal -1/6 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
▶	63.6%	(/.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) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	57.9%	(/.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)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	95.1%	(/.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))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i 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)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.4%	(/.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)) (/.f32 #s(literal -1 binary32) v)))
	95.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.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) (/ -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 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (.f32 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (sqrt.f32 cosTheta_O))) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	45.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.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)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) #s(approx (/ ( (sinh (/ -1 v)) 2) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
▶	98.9%	(/.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)))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32)))) (.f32 (sqrt.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)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (sqrt.f32 cosTheta_O) (sqrt.f32 cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	97.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (log.f32 cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	90.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
	98.6%	(.f32 (.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 (sqrt.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	98.6%	(.f32 (sqrt.f32 cosTheta_O) (.f32 (*.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (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 (*.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)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	51.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	51.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O #s(literal 1/2 binary32))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
▶	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i) (sqrt.f32 cosTheta_O)) v)))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 5 849 to 4 543 computations (22.3% saved)

simplify127.0ms (0.9%)

Memory

1.5MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O))
cost-diff	800	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))
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 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
cost-diff	160	(fma.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v))
cost-diff	672	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal -6 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	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) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	569
0	110	550
1	219	493
2	791	489
3	3868	489
4	7930	489
0	8661	484

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (1.7%)

Memory

-25.9MiB live, 210.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.41244125976844204	(*.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.30078125	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal -6 binary32)))
accuracy	25.08007443625519	#s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))
accuracy	30.22868761968096	(fma.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.39453125	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
accuracy	20.36430059384425	#s(approx (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))
accuracy	0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.258476269536884	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
accuracy	13.46843901218639	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
accuracy	0.26171875	(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3515625	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Samples

155.0ms

256×

valid

Compiler

Compiled 1 067 to 128 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 55.0ms (49.6% of total)

ival-mult: 29.0ms (26.2% of total)

ival-exp: 12.0ms (10.8% of total)

const: 4.0ms (3.6% of total)

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

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

ival-sqrt: 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)

series76.0ms (0.5%)

Memory

34.7MiB live, 74.2MiB allocated

Counts

22 → 73

Calls

Call 1

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

Outputs
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/ (* cosTheta_O cosTheta_i) v)
(* (sqrt cosTheta_O) (/ 1 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(/ 1/2 v)
-6
(/ 1 v)
(/ (+ 1 (* -6 (pow v 2))) v)
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ 1/3 (pow v 2))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(* -6 v)
(* v (- (/ 1 (pow v 2)) 6))
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
1
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* 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 (* 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 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- 6 (/ 1 (pow v 2)))))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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
26.0ms	cosTheta_O	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ 1/2 v) (* cosTheta_i cosTheta_O)) (/ 1/2 v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (* sinTheta_i sinTheta_O) (* (/ 1 v) (* v -6)) (+ (* 1 (* v -6)) (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (/ 1/3 (* v v)) (/ (* cosTheta_i cosTheta_O) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
5.0ms	v	@	0	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ 1/2 v) (* cosTheta_i cosTheta_O)) (/ 1/2 v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (* sinTheta_i sinTheta_O) (* (/ 1 v) (* v -6)) (+ (* 1 (* v -6)) (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (/ 1/3 (* v v)) (/ (* cosTheta_i cosTheta_O) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
4.0ms	cosTheta_O	@	inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ 1/2 v) (* cosTheta_i cosTheta_O)) (/ 1/2 v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (* sinTheta_i sinTheta_O) (* (/ 1 v) (* v -6)) (+ (* 1 (* v -6)) (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (/ 1/3 (* v v)) (/ (* cosTheta_i cosTheta_O) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
4.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ 1/2 v) (* cosTheta_i cosTheta_O)) (/ 1/2 v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (* sinTheta_i sinTheta_O) (* (/ 1 v) (* v -6)) (+ (* 1 (* v -6)) (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (/ 1/3 (* v v)) (/ (* cosTheta_i cosTheta_O) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))
4.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (* (/ 1 v) cosTheta_i) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ 1/2 v) (* cosTheta_i cosTheta_O)) (/ 1/2 v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (* sinTheta_i sinTheta_O) (* (/ 1 v) (* v -6)) (+ (* 1 (* v -6)) (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (sinh (/ -1 v))))) (* (* (/ 1 v) (sqrt cosTheta_O)) (* (sqrt cosTheta_O) cosTheta_i)) (* (/ 1 v) (sqrt cosTheta_O)) (sinh (/ -1 v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (/ 1/3 (* v v)) (/ (* cosTheta_i cosTheta_O) v) (/ -1 (sinh (/ -1 v))) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v))

simplify215.0ms (1.5%)

Memory

-37.7MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1834
1	1048	1744
2	4124	1586
3	7949	1586
0	8423	1543

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/ (* cosTheta_O cosTheta_i) v)
(* (sqrt cosTheta_O) (/ 1 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(/ 1/2 v)
-6
(/ 1 v)
(/ (+ 1 (* -6 (pow v 2))) v)
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/ 1/3 (pow v 2))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(* -6 v)
(* v (- (/ 1 (pow v 2)) 6))
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
1
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* 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 (* 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 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- 6 (/ 1 (pow v 2)))))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(* -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_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(* (sqrt cosTheta_O) (/ 1 v))
(/.f32 (sqrt.f32 cosTheta_O) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (pow (sqrt -1) 2))) v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(* -1 (* (sqrt cosTheta_O) (/ (pow (sqrt -1) 2) v)))
(/.f32 (sqrt.f32 cosTheta_O) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.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)))) #s(literal -1/6 binary32))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* -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 sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.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)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* -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 sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/6 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32)))) sinTheta_O) sinTheta_O))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
-6
#s(literal -6 binary32)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* -6 (pow v 2))) v)
(/.f32 (fma.f32 #s(literal -6 binary32) (*.f32 v v) #s(literal 1 binary32)) v)
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.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))))
(+.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))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)))))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* -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 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O (fma.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(* -6 v)
(*.f32 #s(literal -6 binary32) v)
(* v (- (/ 1 (pow v 2)) 6))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal 6 binary32)) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (- (* -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)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32)))) v)
v
(* v (- 1 (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32)))) v v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* 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))))) 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_O cosTheta_i)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) v) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(* -1 (* v (- 6 (/ 1 (pow v 2)))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal 6 binary32)) v)
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v)
(* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v v)
(* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 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)

rewrite694.0ms (4.7%)

Memory

39.1MiB live, 157.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	242
0	97	227
1	297	202
2	1814	202
0	8421	197

Stop Event

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

Counts

22 → 586

Calls

Call 1

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

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

eval210.0ms (1.4%)

Memory: -24.6MiB live, 170.3MiB allocated
Compiler: Compiled 32 266 to 3 029 computations (90.6% saved)

prune851.0ms (5.8%)

Memory

10.8MiB live, 293.1MiB allocated

Pruning

114 alts after pruning (106 fresh and 8 done)

	Pruned	Kept	Total
New	870	30	900
Fresh	8	76	84
Picked	1	4	5
Done	0	4	4
Total	879	114	993

Accuracy

99.9%

Counts

993 → 114

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 2 binary32) v) v)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	95.3%	(/.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))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (sqrt.f32 cosTheta_O) cosTheta_i) (sqrt.f32 cosTheta_O)) v)) #s(approx (/ (* (sinh (/ -1 v)) 2) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	45.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (neg.f32 v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v)))))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) v) v) v v))))
	37.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (neg.f32 v) v)) v v))))
	36.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v))))
✓	36.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v v))))
	36.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 v v) #s(literal 6 binary32))) v v))))
	36.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 v (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) v))))
	36.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) v) v))))
	36.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1 binary32) v) v))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) v) v))))
	36.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal -1/6 binary32) v) v) #s(literal 1 binary32) (.f32 v v)) v))))
	38.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 v v) #s(literal 6 binary32) #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 v #s(literal -6 binary32)))))))
	37.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 v v) #s(literal -6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6 binary32)))))))
	38.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 v) v) #s(literal 1 binary32))) (.f32 (*.f32 (neg.f32 v) v) (/.f32 #s(literal 1 binary32) v))))))
	37.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) #s(literal 1 binary32) (.f32 (.f32 (neg.f32 v) v) v)) (.f32 (*.f32 (neg.f32 v) v) #s(literal 1 binary32))))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) (.f32 (.f32 (neg.f32 v) v) (neg.f32 v))) (.f32 (*.f32 (neg.f32 v) v) #s(literal -1 binary32))))))
	33.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (.f32 #s(literal -6 binary32) v) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
	35.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (neg.f32 v) (.f32 (neg.f32 v) v) (.f32 #s(literal -1 binary32) (.f32 #s(literal 1/6 binary32) v))) (.f32 v v)))))
	36.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 (neg.f32 v) v (*.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (neg.f32 v)))))
	39.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 v (.f32 (.f32 v v) #s(literal -6 binary32)) v) (.f32 (.f32 v v) #s(literal -6 binary32))))))
	33.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 v #s(literal -6 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal -6 binary32)))))))
	35.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal -6 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
	35.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (neg.f32 (.f32 #s(literal 6 binary32) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
✓	32.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 v #s(literal -6 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
	31.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (/.f32 #s(approx (+ (* 1 (* v -6)) (/ 1 v)) (/.f32 (fma.f32 #s(literal -6 binary32) (.f32 v v) #s(literal 1 binary32)) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal -6 binary32)))))))
	56.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) #s(approx (/ -1 (sinh (/ -1 v))) (+.f32 (/.f32 #s(literal -1/6 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.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) (/ -1 v)) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) v) #s(literal 2 binary32))))
	63.6%	(/.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) (/ -1 v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) #s(literal 3 binary32))) #s(literal 2 binary32))))
✓	63.6%	(/.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) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	63.6%	(/.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) (/ -1 v)) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v)) #s(literal 2 binary32))))
	57.9%	(/.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)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	95.1%	(/.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)) v) #s(literal 2 binary32)))
	95.1%	(/.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))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 (sqrt.f32 cosTheta_O) cosTheta_i) v) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (sqrt.f32 cosTheta_O) v) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i 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)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	95.4%	(/.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)) (/.f32 #s(literal -1 binary32) v)))
	95.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.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) (/ -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 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (.f32 (pow.f32 cosTheta_O #s(literal 1/4 binary32)) (sqrt.f32 cosTheta_O))) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	46.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.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)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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) (sqrt.f32 cosTheta_O)) (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (neg.f32 v)))))
	69.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.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))) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_O)) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) #s(approx (/ ( (sinh (/ -1 v)) 2) (/ -1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	45.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	69.7%	(/.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 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (.f32 #s(approx (sinh (/ -1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) #s(approx (/ (* (sinh (/ -1 v)) 2) (/ -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 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32)))) (.f32 (sqrt.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)))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 cosTheta_O #s(literal 1/4 binary32)))) (.f32 (sqrt.f32 cosTheta_O) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)))
	57.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) cosTheta_O)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	97.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (log.f32 cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	90.9%	(/.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)) v) #s(literal 2 binary32)))
	98.4%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
	98.6%	(.f32 (.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 (sqrt.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	98.6%	(.f32 (sqrt.f32 cosTheta_O) (.f32 (*.f32 (sqrt.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) v) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (sinh (/ -1 v)) 2) (/ -1 v))) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* 2 v) (/ -1 (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 (*.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)))
	98.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	51.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	51.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	56.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	58.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 v cosTheta_O) (neg.f32 cosTheta_i))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)) cosTheta_O))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i) (sqrt.f32 cosTheta_O))))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 (sqrt.f32 cosTheta_O) cosTheta_i) (sqrt.f32 cosTheta_O)) v)))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 9 284 to 3 680 computations (60.4% saved)

regimes380.0ms (2.6%)

Memory

-9.5MiB live, 669.1MiB allocated

Counts

167 → 1

Calls

Call 1

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

Calls

8 calls:

55.0ms	(*.f32 cosTheta_i cosTheta_O)
52.0ms	cosTheta_O
49.0ms	sinTheta_O
47.0ms	sinTheta_i
47.0ms	v

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)

regimes219.0ms (1.5%)

Memory

4.5MiB live, 394.1MiB allocated

Counts

104 → 1

Calls

Call 1

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

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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))

Calls

8 calls:

29.0ms	sinTheta_O
29.0ms	cosTheta_i
28.0ms	sinTheta_i
27.0ms	v
27.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
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	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes211.0ms (1.4%)

Memory

28.6MiB live, 380.7MiB allocated

Counts

98 → 1

Calls

Call 1

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

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)) v) #s(literal 2 binary32)))

Calls

8 calls:

28.0ms	cosTheta_O
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))
26.0ms	sinTheta_i
26.0ms	sinTheta_O
26.0ms	cosTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes218.0ms (1.5%)

Memory

-21.2MiB live, 379.3MiB allocated

Counts

90 → 1

Calls

Call 1

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

Outputs
(/.f32 (.f32 (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:

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

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes188.0ms (1.3%)

Memory

34.9MiB live, 302.6MiB allocated

Counts

86 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

25.0ms	sinTheta_O
25.0ms	sinTheta_i
24.0ms	cosTheta_i
24.0ms	cosTheta_O
24.0ms	v

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes239.0ms (1.6%)

Memory

-14.8MiB live, 257.1MiB allocated

Counts

83 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

40.0ms	cosTheta_i
38.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
28.0ms	sinTheta_i
27.0ms	sinTheta_O
24.0ms	v

Results

Accuracy	Segments	Branch
69.7%	1	`cosTheta_O`
69.7%	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))`
69.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.7%	1	`cosTheta_i`
69.7%	1	`sinTheta_i`
69.7%	1	`sinTheta_O`
69.7%	1	`v`
69.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes220.0ms (1.5%)

Memory

15.6MiB live, 308.1MiB allocated

Counts

82 → 1

Calls

Call 1

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

Calls

8 calls:

37.0ms	v
37.0ms	(*.f32 cosTheta_i cosTheta_O)
29.0ms	sinTheta_O
26.0ms	sinTheta_i
24.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
69.7%	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))`
69.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
69.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.7%	1	`v`
69.7%	1	`cosTheta_i`
69.7%	1	`cosTheta_O`
69.7%	1	`sinTheta_O`
69.7%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes245.0ms (1.7%)

Memory

3.8MiB live, 282.8MiB allocated

Counts

80 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

78.0ms	cosTheta_i
34.0ms	sinTheta_O
24.0ms	v
23.0ms	sinTheta_i
22.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
69.6%	1	`sinTheta_O`
69.6%	1	`cosTheta_i`
69.6%	1	`cosTheta_O`
69.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
69.6%	1	`sinTheta_i`
69.6%	1	`v`
69.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.6%	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))`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes228.0ms (1.5%)

Memory

-53.6MiB live, 296.3MiB allocated

Counts

77 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

40.0ms	sinTheta_O
40.0ms	cosTheta_i
31.0ms	cosTheta_O
29.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	(/.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
69.6%	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))`
69.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
69.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.6%	1	`cosTheta_i`
69.6%	1	`cosTheta_O`
69.6%	1	`sinTheta_O`
69.6%	1	`v`
69.6%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes193.0ms (1.3%)

Memory

4.2MiB live, 321.2MiB allocated

Counts

69 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

53.0ms	v
22.0ms	(*.f32 cosTheta_i cosTheta_O)
21.0ms	sinTheta_O
21.0ms	(*.f32 sinTheta_i sinTheta_O)
20.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
63.6%	1	`sinTheta_i`
63.6%	1	`sinTheta_O`
63.6%	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))`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	1	`cosTheta_i`
63.6%	1	`v`
63.6%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes230.0ms (1.6%)

Memory

5.1MiB live, 162.7MiB allocated

Counts

50 → 1

Calls

Call 1

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

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:

132.0ms	cosTheta_O
18.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
14.0ms	cosTheta_i
13.0ms	(*.f32 sinTheta_i sinTheta_O)
13.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
63.6%	1	`sinTheta_i`
63.6%	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))`
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	1	`cosTheta_i`
63.6%	1	`sinTheta_O`
63.6%	1	`cosTheta_O`
63.6%	1	`v`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes82.0ms (0.6%)

Memory

26.4MiB live, 140.2MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

12.0ms	v
12.0ms	(/.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))
10.0ms	(*.f32 cosTheta_i cosTheta_O)
10.0ms	sinTheta_O
10.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
58.2%	1	`sinTheta_i`
58.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.2%	1	`cosTheta_i`
58.2%	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))`
58.2%	1	`cosTheta_O`
58.2%	1	`sinTheta_O`
58.2%	1	`v`
58.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes40.0ms (0.3%)

Memory

-13.8MiB live, 64.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
58.2%	1	`v`
58.2%	1	`sinTheta_O`
58.2%	1	`sinTheta_i`
58.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.2%	1	`cosTheta_i`
58.2%	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))`
58.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.2%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes44.0ms (0.3%)

Memory

-3.1MiB live, 34.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_O
3.0ms	v
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.9%	1	`v`
57.9%	1	`sinTheta_i`
57.9%	1	`sinTheta_O`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`cosTheta_i`
57.9%	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))`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.2%)

Memory

-9.2MiB live, 28.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	sinTheta_i
2.0ms	sinTheta_O
2.0ms	cosTheta_i
2.0ms	v
2.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
57.9%	1	`sinTheta_i`
57.9%	1	`cosTheta_i`
57.9%	1	`cosTheta_O`
57.9%	1	`v`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`sinTheta_O`
57.9%	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))`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes13.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

2.0ms	sinTheta_i
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	v
2.0ms	sinTheta_O
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.9%	1	`sinTheta_i`
57.9%	1	`v`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`cosTheta_O`
57.9%	1	`sinTheta_O`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`cosTheta_i`
57.9%	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))`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify126.0ms (0.9%)

Memory

-6.8MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	517
1	196	517
2	231	517
3	263	516
4	300	516
5	350	516
6	459	516
7	755	516
8	1277	516
9	1858	516
10	2402	516
11	2757	516
12	2921	516
13	2984	516
14	3016	516
15	3019	516
16	3026	516
17	3026	516
18	3032	516

Stop Event

1×

saturated

Calls

Call 1

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

soundness2.0s (13.7%)

Memory

6.0MiB live, 1 278.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	242
0	97	227
1	297	202
2	1814	202
0	8421	197
0	335	1834
1	1048	1744
2	4124	1586
3	7949	1586
0	8423	1543
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	56	175
0	86	169
1	260	161
2	1519	152
0	8677	152
0	272	1322
1	809	1141
2	3041	1055
3	7501	1052
0	8270	1027
0	325	1766
1	1029	1676
2	4061	1515
3	7814	1515
0	8292	1473
0	41	143
0	68	132
1	209	116
2	1244	116
0	8515	116
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 872 to 925 computations (50.6% saved)

preprocess949.0ms (6.4%)

Memory

19.7MiB live, 1 224.5MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

Compiler

Compiled 6 068 to 4 348 computations (28.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze700.0ms (4.7%)

sample2.5s (16.9%)

explain318.0ms (2.2%)

preprocess245.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify131.0ms (0.9%)

localize57.0ms (0.4%)

series80.0ms (0.5%)

simplify108.0ms (0.7%)

rewrite141.0ms (1%)

eval91.0ms (0.6%)

prune56.0ms (0.4%)

simplify88.0ms (0.6%)

localize134.0ms (0.9%)

series62.0ms (0.4%)

simplify142.0ms (1%)

rewrite165.0ms (1.1%)

eval175.0ms (1.2%)

prune122.0ms (0.8%)

simplify117.0ms (0.8%)

localize150.0ms (1%)

series67.0ms (0.5%)

simplify200.0ms (1.4%)

rewrite345.0ms (2.3%)

eval118.0ms (0.8%)

prune165.0ms (1.1%)

simplify127.0ms (0.9%)

localize255.0ms (1.7%)

series76.0ms (0.5%)

simplify215.0ms (1.5%)

rewrite694.0ms (4.7%)

eval210.0ms (1.4%)

prune851.0ms (5.8%)

regimes380.0ms (2.6%)

regimes219.0ms (1.5%)

regimes211.0ms (1.4%)

regimes218.0ms (1.5%)

regimes188.0ms (1.3%)

regimes239.0ms (1.6%)

regimes220.0ms (1.5%)

regimes245.0ms (1.7%)

regimes228.0ms (1.5%)

regimes193.0ms (1.3%)

regimes230.0ms (1.6%)

regimes82.0ms (0.6%)

regimes40.0ms (0.3%)

regimes44.0ms (0.3%)

regimes27.0ms (0.2%)

regimes13.0ms (0.1%)

simplify126.0ms (0.9%)

soundness2.0s (13.7%)

preprocess949.0ms (6.4%)

end0.0ms (0%)

Profiling