Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.5s (21.5%)

Memory

-2.5MiB live, 2 350.3MiB allocated

Samples

1.0s	6 369×	0	valid
986.0ms	1 887×	1	valid

Precisions

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

ival-exp: 540.0ms (37.7% of total)

ival-cos: 396.0ms (27.6% of total)

ival-mult: 178.0ms (12.4% of total)

ival-add: 90.0ms (6.3% of total)

ival-sub: 73.0ms (5.1% of total)

ival-div: 63.0ms (4.4% of total)

adjust: 45.0ms (3.1% of total)

ival-neg: 34.0ms (2.4% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

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

Bogosity

explain258.0ms (2.2%)

Memory

17.5MiB live, 484.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
119	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	129	(1.9152080711797516e+37 -3.2228612514923095e-30 3089495105.8891535 -3.539309241850661e+60)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	129	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	34	0

Confusion

	Predicted +	Predicted -
+	34	0
-	110	112

Precision

0.2361111111111111

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	110	1	111

Precision?

0.23448275862068965

Recall?

1.0

Freqs

test

number	freq
0	112
1	125
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	172×	1	valid
34.0ms	286×	0	valid
28.0ms	54×	2	valid

Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions

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

ival-exp: 43.0ms (41.3% of total)

ival-cos: 29.0ms (27.8% of total)

ival-mult: 9.0ms (8.6% of total)

adjust: 8.0ms (7.7% of total)

ival-sub: 4.0ms (3.8% of total)

ival-div: 4.0ms (3.8% of total)

ival-add: 4.0ms (3.8% of total)

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

ival-true: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

preprocess89.0ms (0.8%)

Memory

20.4MiB live, 98.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	216
1	162	211
2	455	210
3	1527	210
4	5062	210
0	14	15
0	23	15
1	36	15
2	62	15
3	123	15
4	279	15
5	508	15
6	699	15
7	1099	15
8	1574	15
9	1756	15
10	1805	15
11	1813	15
12	1813	15
0	1813	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify52.0ms (0.4%)

Memory

-10.2MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	36	61
2	62	61
3	123	61
4	279	61
5	508	61
6	699	61
7	1099	61
8	1574	61
9	1756	61
10	1805	61
11	1813	61
12	1813	61
0	1813	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

Outputs
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize120.0ms (1%)

Memory

-20.5MiB live, 153.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.00390625	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.0625	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	27.16699264495304	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

53.0ms	27×	2	valid
31.0ms	86×	1	valid
25.0ms	143×	0	valid

Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 23.0ms (49.1% of total)

ival-cos: 8.0ms (17.1% of total)

ival-mult: 6.0ms (12.8% of total)

adjust: 3.0ms (6.4% of total)

ival-add: 3.0ms (6.4% of total)

ival-sub: 2.0ms (4.3% of total)

ival-div: 2.0ms (4.3% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

8.3MiB live, 49.1MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 J) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 J) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 J) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
3.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	J	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))

simplify244.0ms (2.1%)

Memory

17.8MiB live, 209.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1758
1	453	1758
2	1465	1648
3	3579	1648
0	8167	1568

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

Inputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))

Outputs
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(fma.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64)))) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(fma.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (.f64 (.f64 (.f64 K K) J) #s(literal -1/46080 binary64)))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
#s(literal 1 binary64)
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
U
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
U
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l J) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal 2 binary64) l) J))
(.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(*.f64 #s(literal 2 binary64) l)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite217.0ms (1.9%)

Memory

9.0MiB live, 164.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37

Stop Event

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

Counts

5 → 264

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))

Outputs
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eval91.0ms (0.8%)

Memory: 5.4MiB live, 82.1MiB allocated
Compiler: Compiled 12 330 to 1 171 computations (90.5% saved)

prune69.0ms (0.6%)

Memory

-22.7MiB live, 68.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	383	9	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	9	393

Accuracy

100.0%

Counts

393 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
▶	94.8%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	93.1%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	88.6%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	67.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
	85.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	75.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
▶	85.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Compiler

Compiled 480 to 378 computations (21.3% saved)

simplify344.0ms (3%)

Memory

-13.9MiB live, 181.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) J)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
cost-diff	0	(sinh.f64 l)
cost-diff	0	(*.f64 (sinh.f64 l) J)
cost-diff	0	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	483
0	88	483
1	161	483
2	341	483
3	803	479
4	1770	463
5	3463	463
0	8587	459

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)) J))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

localize441.0ms (3.8%)

Memory

19.4MiB live, 455.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
accuracy	0.0625	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.4905282928780004	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	4.5467718551019125	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	0.0390625	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.0625	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.06640625	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	9.36207569973586	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.06640625	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	0.1015625	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy	3.317977704202418	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	10.537221207920506	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.04296875	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
accuracy	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.00390625	(*.f64 (sinh.f64 l) J)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
accuracy	0.01171875	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))

Samples

185.0ms	86×	1	valid
87.0ms	143×	0	valid
48.0ms	27×	2	valid

Compiler

Compiled 845 to 102 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 97.0ms (40.4% of total)

ival-cos: 62.0ms (25.8% of total)

ival-add: 30.0ms (12.5% of total)

ival-exp: 22.0ms (9.2% of total)

const: 12.0ms (5% of total)

adjust: 11.0ms (4.6% of total)

ival-sub: 2.0ms (0.8% of total)

ival-sinh: 2.0ms (0.8% of total)

ival-div: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series251.0ms (2.2%)

Memory

11.6MiB live, 248.0MiB allocated

Counts

27 → 720

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sinh.f64 l) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) K) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	U	@	inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (* K -1/2)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
56.0ms	l	@	0	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (* K -1/2)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
52.0ms	J	@	0	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (* K -1/2)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
8.0ms	l	@	-inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (* K -1/2)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
7.0ms	l	@	inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (* K -1/2)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))

simplify253.0ms (2.2%)

Memory

-19.8MiB live, 387.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	9587
1	1330	9549
2	4555	9053
0	8312	8538

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 691

Calls

Call 1

Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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(* 2 l)
(* 2 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))

Outputs
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
U
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
U
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
U
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
U
(.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
(.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) #s(literal 1 binary64)) U)
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(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
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(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
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(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (.f64 (*.f64 J l) l) #s(literal 1/3 binary64))
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(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 l l) #s(literal 1/3 binary64))
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(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
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(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 #s(literal 1/2520 binary64) (.f64 l l))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64))))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) l)
(*.f64 #s(literal 2 binary64) l)
(*.f64 #s(literal 2 binary64) l)
(*.f64 #s(literal 2 binary64) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (.f64 (.f64 (.f64 J l) l) #s(literal 1/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (.f64 (*.f64 J l) l) #s(literal 1/3 binary64))
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 #s(literal 1/2520 binary64) (.f64 l l))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64))))
(.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64))))

rewrite192.0ms (1.7%)

Memory

8.8MiB live, 324.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	377
0	88	357
1	306	357
2	2006	357
0	8454	353

Stop Event

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

Counts

27 → 447

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))

Outputs
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eval208.0ms (1.8%)

Memory: 16.6MiB live, 523.7MiB allocated
Compiler: Compiled 47 447 to 2 989 computations (93.7% saved)

prune40.0ms (0.3%)

Memory

-17.5MiB live, 143.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1 213	13	1 226
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	1 221	14	1 235

Accuracy

100.0%

Counts

1 235 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
▶	82.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	45.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
▶	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
✓	85.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
▶	54.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	59.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
▶	69.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
	49.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	55.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
	35.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	56.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 980 to 743 computations (24.2% saved)

simplify162.0ms (1.4%)

Memory

1.3MiB live, 282.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff	0	(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
cost-diff	0	#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff	0	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
cost-diff	0	#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff	0	(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
cost-diff	0	(*.f64 J l)
cost-diff	0	(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
cost-diff	0	(sinh.f64 l)
cost-diff	0	(*.f64 (sinh.f64 l) J)
cost-diff	0	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	472
0	96	472
1	173	472
2	380	472
3	904	464
4	1910	464
5	3403	464
6	7141	464
0	8027	458

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U)
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U

Outputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J l)) #s(literal 2 binary64) U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J l)) #s(literal 2 binary64) U)
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U

localize205.0ms (1.8%)

Memory

32.2MiB live, 541.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy	0.03125	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U)
accuracy	0.1171875	(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l))
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
accuracy	0.2810022416219296	(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy	3.317977704202418	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	10.537221207920506	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy	31.617094512132113	#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.06640625	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	3.317977704202418	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy	10.537221207920506	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
accuracy	25.24333543438427	#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy	0	(*.f64 J l)
accuracy	0.00390625	(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
accuracy	13.333397367676342	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
accuracy	0.00390625	(*.f64 (sinh.f64 l) J)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
accuracy	0.01171875	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
accuracy	28.503709953949272	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

103.0ms	204×	0	valid
55.0ms	52×	1	valid

Compiler

Compiled 796 to 127 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 41.0ms (32.7% of total)

ival-cos: 31.0ms (24.8% of total)

ival-add: 15.0ms (12% of total)

ival-exp: 12.0ms (9.6% of total)

const: 10.0ms (8% of total)

adjust: 5.0ms (4% of total)

ival-div: 4.0ms (3.2% of total)

ival-sub: 3.0ms (2.4% of total)

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

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series91.0ms (0.8%)

Memory

-11.1MiB live, 198.5MiB allocated

Counts

24 → 756

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sinh.f64 l) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 J l) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 J l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (*.f64 J l) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (*.f64 J l) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	J	@	0	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (cos (* K -1/2)) (+ (* (* l l) 1/3) 2) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
6.0ms	U	@	0	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (cos (* K -1/2)) (+ (* (* l l) 1/3) 2) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms	l	@	inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (cos (* K -1/2)) (+ (* (* l l) 1/3) 2) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms	J	@	-inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (cos (* K -1/2)) (+ (* (* l l) 1/3) 2) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms	l	@	-inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* 1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (cos (* K -1/2)) (+ (* (* l l) 1/3) 2) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))

simplify219.0ms (1.9%)

Memory

15.7MiB live, 320.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	10445
1	1405	10415
2	4766	9826
0	8252	9170

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 715

Calls

Call 1

Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* 2 l)
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(* 2 (* J (cos (* 1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* J l)
(* J l)
(* J l)
(* J l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* J l)
(* J l)
(* J l)
(* J l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))

Outputs
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 J l) #s(literal 2 binary64))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
U
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
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(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 J l)
(*.f64 J l)
(*.f64 J l)
(*.f64 J l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 l #s(literal 3 binary64)) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)

rewrite208.0ms (1.8%)

Memory

-12.9MiB live, 323.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	394
0	96	386
1	331	386
2	2188	384
0	9457	380

Stop Event

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

Counts

24 → 387

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U)
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))

Outputs
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eval191.0ms (1.7%)

Memory: -6.1MiB live, 347.8MiB allocated
Compiler: Compiled 53 938 to 2 493 computations (95.4% saved)

prune86.0ms (0.7%)

Memory

15.2MiB live, 133.2MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 131	14	1 145
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	1 136	23	1 159

Accuracy

100.0%

Counts

1 159 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
✓	82.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
▶	75.8%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
	45.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
✓	85.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	50.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
	38.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
	59.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	49.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
	68.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
	69.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
	63.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
	63.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
▶	43.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
✓	55.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
	35.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	57.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
▶	43.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
▶	23.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	56.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 1 815 to 1 295 computations (28.7% saved)

simplify196.0ms (1.7%)

Memory

-5.4MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
cost-diff	448	(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
cost-diff	704	(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
cost-diff	0	#s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
cost-diff	1024	(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
cost-diff	0	#s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
cost-diff	704	(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
cost-diff	0	(.f64 (.f64 J l) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
cost-diff	0	#s(approx (* (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l))
cost-diff	0	(.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	672
0	101	664
1	193	664
2	401	664
3	815	660
4	1720	630
5	2414	630
6	4037	630
7	5465	630
8	7427	630
0	8205	586

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l))
(.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)
(fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
(.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)))
J
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
l
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))
#s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(fma.f64 #s(literal 2 binary64) J (/.f64 U l))
#s(literal 2 binary64)
J
(/.f64 U l)
U
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)))
#s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)))
J
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
U

Outputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J)) U)
(.f64 #s(literal 2 binary64) #s(approx ( (sinh l) J) (.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J)))
#s(approx (* (sinh l) J) (.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J))
(.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J)
(fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 1/6 binary64)
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
l
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 #s(literal 2 binary64) J (/.f64 U l))
#s(literal 2 binary64)
J
(/.f64 U l)
U
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J l) 2) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J)))
#s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J)
(*.f64 (fma.f64 #s(literal 1/3 binary64) l (/.f64 #s(literal 2 binary64) l)) J)
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) J)
J
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
U

localize275.0ms (2.4%)

Memory

6.5MiB live, 320.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.107323947434641	(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
accuracy	7.154355478962683	(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
accuracy	10.537221207920506	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
accuracy	25.24333543438427	#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)))
accuracy	3.611531470879462	(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
accuracy	7.901843762192545	(/.f64 (*.f64 J l) U)
accuracy	13.333397367676342	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
accuracy	0	#s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))
accuracy	7.753751906517965	(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
accuracy	13.333397367676342	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
accuracy	0.01171875	(.f64 (.f64 J l) #s(literal 2 binary64))
accuracy	13.333397367676342	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
accuracy	20.842446906306456	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
accuracy	28.268136817308687	#s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
accuracy	0.45156521620958046	(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
accuracy	3.4600320562277	(.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)))
accuracy	5.54484692727521	#s(approx (* (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l))
accuracy	28.503709953949272	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

152.0ms	204×	0	valid
71.0ms	52×	1	valid

Compiler

Compiled 1 037 to 141 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 79.0ms (41% of total)

ival-cos: 43.0ms (22.3% of total)

const: 21.0ms (10.9% of total)

ival-add: 19.0ms (9.9% of total)

ival-exp: 12.0ms (6.2% of total)

ival-div: 7.0ms (3.6% of total)

adjust: 5.0ms (2.6% of total)

ival-sinh: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series131.0ms (1.1%)

Memory

-15.3MiB live, 261.4MiB allocated

Counts

25 → 876

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 J l) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 J l) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (*.f64 J l) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (*.f64 J l) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (*.f64 J l) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch (/.f64 (*.f64 J l) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf l) (#s(alt #<batchref> (patch #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	l	@	-inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* J l) 2) (* (+ (* 2 J) (/ U l)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* (* J (+ (/ 2 (* l l)) 1/3)) l) l) (* (* J (+ (/ 2 (* l l)) 1/3)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (cos (* K -1/2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (/ (* J l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))))
10.0ms	l	@	inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* J l) 2) (* (+ (* 2 J) (/ U l)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* (* J (+ (/ 2 (* l l)) 1/3)) l) l) (* (* J (+ (/ 2 (* l l)) 1/3)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (cos (* K -1/2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (/ (* J l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))))
9.0ms	J	@	inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* J l) 2) (* (+ (* 2 J) (/ U l)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* (* J (+ (/ 2 (* l l)) 1/3)) l) l) (* (* J (+ (/ 2 (* l l)) 1/3)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (cos (* K -1/2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (/ (* J l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))))
8.0ms	J	@	-inf	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* J l) 2) (* (+ (* 2 J) (/ U l)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* (* J (+ (/ 2 (* l l)) 1/3)) l) l) (* (* J (+ (/ 2 (* l l)) 1/3)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (cos (* K -1/2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (/ (* J l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))))
8.0ms	J	@	0	((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* J l) 2) (* (+ (* 2 J) (/ U l)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* (* (* J (+ (/ 2 (* l l)) 1/3)) l) l) (* (* J (+ (/ 2 (* l l)) 1/3)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (cos (* K -1/2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (/ (* J l) U) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))))

simplify205.0ms (1.8%)

Memory

21.9MiB live, 330.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	10754
1	1346	10730
2	4607	10294
0	8112	9580

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 819

Calls

Call 1

Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
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(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* J (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* l (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* l (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* l (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* l (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
U
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(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
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(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
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(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
J
(+ J (* 1/6 (* J (pow l 2))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(+ U (* 2 (* J l)))
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(+ U (* 2 (* J l)))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 2 (/ J l))
(/ (+ (* 1/3 (* J (pow l 2))) (* 2 J)) l)
(/ (+ (* 1/3 (* J (pow l 2))) (* 2 J)) l)
(/ (+ (* 1/3 (* J (pow l 2))) (* 2 J)) l)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(* 1/6 J)
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(* 2 (* J (cos (* 1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J l))
(* l (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* l (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* l (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J l))
(* -1 (* l (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* l (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* l (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))

Outputs
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 J l) #s(literal 2 binary64))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
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(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
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(.f64 (.f64 J l) #s(literal 2 binary64))
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(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
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(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
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(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
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(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (.f64 #s(literal 1/3 binary64) l) J)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/3 binary64) J))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (/.f64 U (pow.f64 l #s(literal 3 binary64)))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (/.f64 U (pow.f64 l #s(literal 3 binary64)))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/120 binary64))
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(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64))) (.f64 l l))
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64))) (.f64 l l))
(.f64 #s(literal 1/120 binary64) (.f64 l l))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
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(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) J) #s(literal 1/120 binary64))
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64))) (pow.f64 l #s(literal 4 binary64)))
(.f64 (fma.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64)) (/.f64 J (pow.f64 l #s(literal 4 binary64)))) (pow.f64 l #s(literal 4 binary64)))
(.f64 (fma.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64)) (/.f64 J (pow.f64 l #s(literal 4 binary64)))) (pow.f64 l #s(literal 4 binary64)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 (.f64 #s(literal 1/3 binary64) l) J)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/3 binary64) J))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (pow.f64 l #s(literal 3 binary64)))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 l l))) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64)))))
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/120 binary64))
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64))) (.f64 l l))
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64))) (.f64 l l))
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 l l)) #s(literal 1/120 binary64))) (.f64 l l))
(.f64 #s(literal 1/120 binary64) (.f64 l l))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
(/.f64 (*.f64 J l) U)
(.f64 (.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 l l))

rewrite183.0ms (1.6%)

Memory

-18.1MiB live, 302.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	560
0	101	552
1	365	552
2	2532	552
0	8098	522

Stop Event

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

Counts

25 → 254

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l))
(fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)))
#s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
(.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)
(.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U)
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(/.f64 (*.f64 J l) U)
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l)))

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eval141.0ms (1.2%)

Memory: 4.7MiB live, 357.6MiB allocated
Compiler: Compiled 49 464 to 1 918 computations (96.1% saved)

prune234.0ms (2%)

Memory

-200.4MiB live, 226.0MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1 062	11	1 073
Fresh	4	11	15
Picked	2	3	5
Done	0	3	3
Total	1 068	28	1 096

Accuracy

100.0%

Counts

1 096 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	75.8%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	75.8%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	59.9%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
	64.8%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
	75.6%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
	75.6%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	76.5%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
	45.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
✓	85.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	59.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	49.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
	68.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
	63.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
	63.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
✓	43.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
	62.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
✓	55.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
	35.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	60.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	56.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
✓	43.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
✓	23.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
	23.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	56.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 2 944 to 1 122 computations (61.9% saved)

regimes150.0ms (1.3%)

Memory

-30.3MiB live, 245.3MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)

Calls

10 calls:

17.0ms	U
16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	l
14.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
100.0%	1	`J`
100.0%	1	`l`
100.0%	1	`K`
100.0%	1	`U`
100.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
100.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
100.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
100.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
100.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
100.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes155.0ms (1.3%)

Memory

23.7MiB live, 252.4MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))

Outputs

(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

10 calls:

20.0ms	K
18.0ms	J
18.0ms	l
17.0ms	U
17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.8%	1	`J`
94.8%	1	`l`
97.8%	2	`K`
94.8%	1	`U`
94.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
94.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes46.0ms (0.4%)

Memory

27.6MiB live, 64.6MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

3 calls:

18.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.6%	2	`K`
96.6%	2	`(/.f64 K #s(literal 2 binary64))`
96.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes139.0ms (1.2%)

Memory

-14.5MiB live, 237.9MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

10 calls:

16.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	K
13.0ms	l
13.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
13.0ms	U

Results

Accuracy	Segments	Branch
91.8%	3	`J`
97.6%	5	`l`
88.6%	1	`U`
88.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
90.2%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
95.1%	2	`K`
95.1%	2	`(/.f64 K #s(literal 2 binary64))`
95.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes40.0ms (0.3%)

Memory

-14.2MiB live, 64.0MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

3 calls:

13.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.7%	2	`K`
93.7%	2	`(/.f64 K #s(literal 2 binary64))`
94.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes50.0ms (0.4%)

Memory

7.3MiB live, 87.3MiB allocated

Counts

40 → 5

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Calls

4 calls:

13.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	K
12.0ms	l
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.6%	5	`l`
86.8%	2	`K`
86.8%	2	`(/.f64 K #s(literal 2 binary64))`
90.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes36.0ms (0.3%)

Memory

-17.3MiB live, 60.1MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

3 calls:

13.0ms	l
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
90.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
92.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
92.2%	3	`l`

Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes12.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

1 calls:

10.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
90.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes31.0ms (0.3%)

Memory

7.7MiB live, 48.5MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

3 calls:

11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	l
8.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
92.5%	4	`l`
89.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
90.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes76.0ms (0.7%)

Memory

-7.7MiB live, 107.7MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Outputs

(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)

(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

8 calls:

11.0ms	l
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	J
10.0ms	U
9.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Results

Accuracy	Segments	Branch
84.2%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
86.5%	2	`l`
82.2%	1	`U`
82.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
82.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
82.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
86.1%	3	`J`
87.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 49 to 63 computations (-28.6% saved)

regimes113.0ms (1%)

Memory

-13.4MiB live, 144.4MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))

Outputs

(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)

(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

10 calls:

21.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms	U
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms	l
9.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.5%	1	`U`
76.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
78.4%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
76.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
80.8%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
76.5%	1	`J`
80.8%	2	`l`
76.5%	1	`K`
76.5%	1	`(/.f64 K #s(literal 2 binary64))`
82.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 #s(literal 1/120 binary64) l) l #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 J (.f64 l l)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

1 calls:

8.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
81.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes24.0ms (0.2%)

Memory

-12.5MiB live, 29.0MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 l l)))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (* J (+ (* 1/120 (* l l)) 1/6)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/120 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

3 calls:

8.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms	l
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
77.4%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
79.1%	2	`l`
80.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes61.0ms (0.5%)

Memory

15.2MiB live, 90.1MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))

Calls

9 calls:

8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.0ms	U
7.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	K
6.0ms	J

Results

Accuracy	Segments	Branch
73.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.2%	1	`K`
73.2%	1	`U`
73.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.2%	1	`(/.f64 K #s(literal 2 binary64))`
73.2%	1	`J`
73.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
76.7%	2	`l`
77.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 47 to 65 computations (-38.3% saved)

regimes7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))

Calls

1 calls:

5.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
77.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes11.0ms (0.1%)

Memory

13.3MiB live, 13.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))

Calls

3 calls:

4.0ms	l
4.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
73.2%	1	`l`
73.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
73.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes56.0ms (0.5%)

Memory

-31.4MiB live, 48.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))

Calls

10 calls:

6.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	J
3.0ms	l
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	K

Results

Accuracy	Segments	Branch
63.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
66.0%	2	`J`
69.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.2%	1	`U`
69.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
63.2%	1	`K`
69.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
69.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
63.2%	1	`(/.f64 K #s(literal 2 binary64))`
69.7%	3	`l`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes11.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 #s(approx (* (* J (+ (/ 2 (* l l)) 1/3)) l) (*.f64 (*.f64 #s(literal 1/3 binary64) l) J)) l))) l U))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 #s(approx (* (* J (+ (/ 2 (* l l)) 1/3)) l) (*.f64 (*.f64 #s(literal 1/3 binary64) l) J)) l))) l U))

Calls

5 calls:

2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
68.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
68.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
68.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
68.7%	3	`l`
68.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes21.0ms (0.2%)

Memory

3.8MiB live, 41.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))

Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))

Calls

10 calls:

3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	U
2.0ms	J
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	K

Results

Accuracy	Segments	Branch
55.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
55.4%	1	`U`
55.4%	1	`K`
55.4%	1	`(/.f64 K #s(literal 2 binary64))`
55.4%	1	`J`
55.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
55.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
55.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
55.4%	1	`l`
55.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes17.0ms (0.1%)

Memory

-9.0MiB live, 29.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))

Calls

10 calls:

2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	U
2.0ms	K

Results

Accuracy	Segments	Branch
23.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
23.0%	1	`l`
23.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
23.0%	1	`J`
23.0%	1	`K`
23.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
23.0%	1	`(/.f64 K #s(literal 2 binary64))`
23.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
23.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
23.0%	1	`U`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9930425491877836	0.9942700419657015

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9930425491877836	0.9942700419657015

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9930425491877836	0.9942700419657015

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9930425491877836	0.9942700419657015

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch93.0ms (0.8%)

Memory

-4.6MiB live, 114.2MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.2342577081845792e+94	6.51433649705566e+99
24.0ms	1.4173890954333493e-7	0.20729878721190778
15.0ms	-3.401542077933864e-6	-8.473755442307938e-7
24.0ms	-6.61071407924237e+112	-1.1324159716609384e+105

Samples

61.0ms

528×

valid

Compiler

Compiled 1 875 to 1 599 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-cos: 13.0ms (28.8% of total)

ival-exp: 11.0ms (24.4% of total)

ival-mult: 10.0ms (22.1% of total)

ival-div: 3.0ms (6.6% of total)

ival-sub: 3.0ms (6.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07922590341133441	0.035110583809789646

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07922590341133441	0.035110583809789646

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07922590341133441	0.035110583809789646

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1263941222825157	-0.11101315083259872

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch44.0ms (0.4%)

Memory

12.6MiB live, 50.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.20729878721190778	97.66963010771944
21.0ms	-41491.50512876696	-35.862751314477144

Samples

29.0ms

256×

valid

Compiler

Compiled 1 394 to 981 computations (29.6% saved)

Precisions

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

ival-exp: 6.0ms (28% of total)

ival-mult: 5.0ms (23.4% of total)

ival-cos: 5.0ms (23.4% of total)

ival-div: 2.0ms (9.3% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.998443420032245e+193	+inf
0.0ms	-inf	-4.644379154872372e+284

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify40.0ms (0.3%)

Memory

3.0MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1468
1	264	1468
2	269	1468
3	272	1468
4	273	1468

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 l #s(literal -1149999999999999890802621392802661203842724811467102630323546263183397516170656245287694236066931252658176 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -8028023020878397/2361183241434822606848 binary64)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 l #s(literal 5404319552844595/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 3450000000000000045151629867543071906987169420443527546262523812162306770139719417286125719094558720 binary64)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
(if (<=.f64 l #s(literal -36 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (if (<=.f64 l #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U)) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) (+.f64 (.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4476578029606273/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 l #s(literal -1149999999999999890802621392802661203842724811467102630323546263183397516170656245287694236066931252658176 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -8028023020878397/2361183241434822606848 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 l #s(literal 5404319552844595/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 3450000000000000045151629867543071906987169420443527546262523812162306770139719417286125719094558720 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) J) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) (fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) J) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)) (fma.f64 (.f64 #s(approx (* (sinh l) J) (.f64 (fma.f64 #s(approx ( J (+ (* 1/120 (* l l)) 1/6)) (.f64 (.f64 (.f64 l l) J) #s(literal 1/120 binary64))) (.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
(if (<=.f64 l #s(literal -36 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (if (<=.f64 l #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))))
(if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal -inf.0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U)) (if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal 49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 #s(approx ( (* J (+ (/ 2 (* l l)) 1/3)) l) (.f64 (.f64 #s(literal 1/3 binary64) l) J)) l))) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))

soundness2.2s (19.3%)

Memory

29.4MiB live, 1 489.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	394
0	96	386
1	331	386
2	2188	384
0	9457	380
0	145	1758
1	453	1758
2	1465	1648
3	3579	1648
0	8167	1568
0	400	10754
1	1346	10730
2	4607	10294
0	8112	9580
0	74	560
0	101	552
1	365	552
2	2532	552
0	8098	522
0	392	9587
1	1330	9549
2	4555	9053
0	8312	8538
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	418	10445
1	1405	10415
2	4766	9826
0	8252	9170
0	52	377
0	88	357
1	306	357
2	2006	357
0	8454	353

Stop Event

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

Compiler

Compiled 2 588 to 1 151 computations (55.5% saved)

preprocess175.0ms (1.5%)

Memory: 5.4MiB live, 313.0MiB allocated
Remove: (abs K)
Compiler: Compiled 3 014 to 510 computations (83.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (21.5%)

explain258.0ms (2.2%)

preprocess89.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.4%)

localize120.0ms (1%)

series23.0ms (0.2%)

simplify244.0ms (2.1%)

rewrite217.0ms (1.9%)

eval91.0ms (0.8%)

prune69.0ms (0.6%)

simplify344.0ms (3%)

localize441.0ms (3.8%)

series251.0ms (2.2%)

simplify253.0ms (2.2%)

rewrite192.0ms (1.7%)

eval208.0ms (1.8%)

prune40.0ms (0.3%)

simplify162.0ms (1.4%)

localize205.0ms (1.8%)

series91.0ms (0.8%)

simplify219.0ms (1.9%)

rewrite208.0ms (1.8%)

eval191.0ms (1.7%)

prune86.0ms (0.7%)

simplify196.0ms (1.7%)

localize275.0ms (2.4%)

series131.0ms (1.1%)

simplify205.0ms (1.8%)

rewrite183.0ms (1.6%)

eval141.0ms (1.2%)

prune234.0ms (2%)

regimes150.0ms (1.3%)

regimes155.0ms (1.3%)

regimes46.0ms (0.4%)

regimes139.0ms (1.2%)

regimes40.0ms (0.3%)

regimes50.0ms (0.4%)

regimes36.0ms (0.3%)

regimes12.0ms (0.1%)

regimes31.0ms (0.3%)

regimes76.0ms (0.7%)

regimes113.0ms (1%)

regimes9.0ms (0.1%)

regimes24.0ms (0.2%)

regimes61.0ms (0.5%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes56.0ms (0.5%)

regimes11.0ms (0.1%)

regimes21.0ms (0.2%)

regimes17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch93.0ms (0.8%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.4%)

bsearch1.0ms (0%)

simplify40.0ms (0.3%)

soundness2.2s (19.3%)

preprocess175.0ms (1.5%)

end0.0ms (0%)

Profiling