Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1.7s (14.9%)

Memory

57.7MiB live, 2 706.0MiB allocated

Samples

726.0ms	6 429×	0	valid
693.0ms	1 827×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 460.0ms (40.7% of total)

ival-cos: 289.0ms (25.6% of total)

ival-mult: 122.0ms (10.8% of total)

ival-sub: 55.0ms (4.9% of total)

ival-div: 54.0ms (4.8% of total)

ival-add: 54.0ms (4.8% of total)

adjust: 44.0ms (3.9% of total)

ival-neg: 38.0ms (3.4% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain242.0ms (2.1%)

Memory

-12.8MiB live, 340.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	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	124	(1.8531558567311086e-101 4.614300435599758e+106 3.1809590566320746e+36 4.123410158315789e+70)	-	`(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	124	1
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	39	0

Confusion

	Predicted +	Predicted -
+	38	0
-	111	107

Precision

0.2550335570469799

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	111	1	106

Precision?

0.25333333333333335

Recall?

1.0

Freqs

test

number	freq
0	107
1	135
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	186×	1	valid
38.0ms	262×	0	valid
32.0ms	64×	2	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-exp: 46.0ms (46.7% of total)

ival-cos: 20.0ms (20.3% of total)

ival-mult: 11.0ms (11.2% of total)

adjust: 7.0ms (7.1% of total)

ival-sub: 4.0ms (4.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-div: 3.0ms (3% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess93.0ms (0.8%)

Memory

5.0MiB live, 84.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 266×	`times-frac`
1 252×	`lower-fma.f64`
1 252×	`lower-fma.f32`
1 150×	`unsub-neg`
770×	`distribute-lft-in`

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

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

(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 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.7%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify54.0ms (0.5%)

Memory

-0.8MiB live, 37.6MiB 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)

Rules

1 252×	`lower-fma.f64`
1 252×	`lower-fma.f32`
564×	`lower-*.f32`
560×	`lower-*.f64`
270×	`distribute-lft-in`

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

localize99.0ms (0.8%)

Memory

-23.3MiB live, 113.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.00390625	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy	0.0546875	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	30.242570168482864	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

49.0ms	93×	1	valid
16.0ms	32×	2	valid
15.0ms	131×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-exp: 23.0ms (35.1% of total)

ival-mult: 22.0ms (33.6% of total)

ival-cos: 9.0ms (13.7% of total)

adjust: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

ival-div: 2.0ms (3.1% of total)

ival-add: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-4.4MiB live, 33.8MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 U (taylor inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 U (taylor -inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))) (taylor 0 K) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ 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)))))))))) (taylor 0 K) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ 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))))))))))) (taylor 0 K) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* J (- (exp l) (exp (neg l)))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (+ (* 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))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (+ (* 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)))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 1 (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (pow K 2))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt U (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ 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))))))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* 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)))))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* 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)))))))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* 2 (* J l)) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* 1/3 (pow l 2)))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
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	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	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)))
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)))

simplify225.0ms (1.9%)

Memory

22.3MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
5 948×	`lower-+.f64`
5 948×	`lower-+.f32`
5 120×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	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
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(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)
(+ 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))))))))))
(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))
(+ 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)))))))))))
(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) (fma.f64 (.f64 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (.f64 K K) U))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(.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))
(+ (* 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)))))))))
(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))
(+ (* 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))))))))))
(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) (.f64 (.f64 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ 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)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 l J) l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) l U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* 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))))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 l J) l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* 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))))))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 2 (* J l))
(.f64 (.f64 #s(literal 2 binary64) l) J)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(.f64 (fma.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) J)) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(.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)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(.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)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite207.0ms (1.8%)

Memory

9.5MiB live, 139.7MiB allocated

Rules

4 096×	`lower-fma.f64`
4 096×	`lower-fma.f32`
3 120×	`lower-*.f32`
3 116×	`lower-*.f64`
1 830×	`lower-/.f32`

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
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 U U) U))) (fma.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(.f64 (/.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))) (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(.f64 (neg.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)))))
(.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))))
(.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (fma.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (fma.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l))) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) l))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 l l)) (.f64 (cosh.f64 l) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64))))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) l)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (-.f64 (exp.f64 (+.f64 l l)) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (cosh.f64 l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 #s(literal -2 binary64) (cosh.f64 l))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 l l)) #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) l)))) (+.f64 (expm1.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (sinh.f64 l) #s(literal 2 binary64)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 l) (cosh.f64 l)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 (.f64 l #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 l #s(literal 3/2 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 l)) (exp.f64 l))
(fma.f64 (exp.f64 (+.f64 l l)) (/.f64 (exp.f64 l) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 l))) (exp.f64 l))
(fma.f64 #s(literal 1 binary64) (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(fma.f64 (exp.f64 (neg.f64 l)) #s(literal -1 binary64) (exp.f64 l))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 (+.f64 l l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 l) (.f64 (cosh.f64 l) #s(literal 2 binary64))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 l) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (exp.f64 l) #s(literal 0 binary64)) (exp.f64 (neg.f64 l)))
(-.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 l))) (exp.f64 l))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval91.0ms (0.8%)

Memory: 0.5MiB live, 74.1MiB allocated
Compiler: Compiled 11 168 to 1 133 computations (89.9% saved)

prune182.0ms (1.6%)

Memory

-17.0MiB live, 110.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	382	10	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	10	393

Accuracy

100.0%

Counts

393 → 10

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)
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)))
▶	95.5%	(+.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)
▶	94.3%	(+.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)
	89.5%	(+.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)
	91.4%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	87.3%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	74.6%	#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))
▶	69.6%	#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 K #s(literal 1/2 binary64))) U))
	87.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Compiler

Compiled 438 to 280 computations (36.1% saved)

simplify287.0ms (2.4%)

Memory

29.0MiB live, 185.8MiB 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 (fma.f64 #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 #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 #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 #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	(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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	(*.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 K #s(literal 1/2 binary64))) 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 K #s(literal 1/2 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)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)

Rules

13 168×	`lower-fma.f32`
13 152×	`lower-fma.f64`
5 660×	`lower-*.f32`
5 628×	`lower-*.f64`
1 832×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	537
0	95	537
1	174	537
2	338	537
3	694	529
4	1416	513
5	3386	513
6	6921	513
0	8073	509

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

localize590.0ms (5%)

Memory

-20.5MiB live, 336.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.041347509768442016	(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))
accuracy	0.0546875	(.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	0.29138731491175185	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	4.01281001475879	#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	0.03125	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))
accuracy	0.0546875	(.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))))
accuracy	0.0625	(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy	5.475695868802811	#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))
accuracy	0.0546875	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.08203125	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	2.8603849767168943	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	8.868702866924222	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy	0	(*.f64 #s(literal 2 binary64) l)
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.046875	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy	19.45948243726514	#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 K #s(literal 1/2 binary64))) U))
accuracy	0	(sinh.f64 l)
accuracy	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
accuracy	0.00390625	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))

Samples

210.0ms	93×	1	valid
163.0ms	131×	0	valid
58.0ms	32×	2	valid

Compiler

Compiled 381 to 51 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-exp: 130.0ms (33.3% of total)

ival-cos: 88.0ms (22.5% of total)

ival-mult: 75.0ms (19.2% of total)

const: 63.0ms (16.1% of total)

adjust: 13.0ms (3.3% of total)

ival-add: 13.0ms (3.3% of total)

ival-sub: 2.0ms (0.5% of total)

ival-sinh: 2.0ms (0.5% of total)

ival-div: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (0.9%)

Memory

-5.4MiB live, 198.7MiB allocated

Counts

28 → 720

Calls

Call 1

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

Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #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 K #s(literal 1/2 binary64))) U)) (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 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #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 K #s(literal 1/2 binary64))) U)) (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 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #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 K #s(literal 1/2 binary64))) U)) (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 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #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 K #s(literal 1/2 binary64))) U)) (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 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.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) (patch (+.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) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.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) (patch (+.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) #<representation binary64>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.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)))) (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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.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)))) (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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.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))) (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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.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))) (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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.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))) (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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.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))) (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 (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt #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)) (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 (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt #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)) (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 (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt #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)) (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 (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt #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)) (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 (* 1/3 (* J (pow l 2))) (taylor -inf l) (#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 4)) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 6)) (taylor -inf l) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor -inf l) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6))))))) (taylor -inf l) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	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 (* K 1/2))) U) (* (* 2 l) J) (* 2 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)))) (* (* J (+ (* (* l l) 1/3) 2)) 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))) (+ (* (* 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)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2))
7.0ms	K	@	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 (* K 1/2))) U) (* (* 2 l) J) (* 2 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)))) (* (* J (+ (* (* l l) 1/3) 2)) 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))) (+ (* (* 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)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2))
7.0ms	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 (* K 1/2))) U) (* (* 2 l) J) (* 2 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)))) (* (* J (+ (* (* l l) 1/3) 2)) 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))) (+ (* (* 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)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2))
6.0ms	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 (* K 1/2))) U) (* (* 2 l) J) (* 2 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)))) (* (* J (+ (* (* l l) 1/3) 2)) 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))) (+ (* (* 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)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2))
5.0ms	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 (* K 1/2))) U) (* (* 2 l) J) (* 2 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)))) (* (* J (+ (* (* l l) 1/3) 2)) 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))) (+ (* (* 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)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2))

simplify294.0ms (2.5%)

Memory

9.6MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 760×	`lower-fma.f64`
15 760×	`lower-fma.f32`
6 042×	`lower-*.f64`
6 042×	`lower-*.f32`
4 038×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	8921
1	1130	8915
2	3432	8479
3	7305	8470
0	8355	8002

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 695

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 (* (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 (* (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 (* (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)))
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(+ 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)))))))))))
(* 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))))))))))
(+ 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
(+ 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) (/ 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))))))
(* 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)))))
(+ 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))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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))))))
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(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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(+ 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))))))
(* 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))))))
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(* 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))
(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) (/ 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)))))
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))))))
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 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
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))))
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(* 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 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ 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))))))
(* 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))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -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))))))
(* 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)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 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 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))

Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) 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
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(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)
(+ 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))))))))))
(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))
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(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* 1/3 (* J (pow l 3)))
(.f64 (.f64 (.f64 (.f64 l l) l) J) #s(literal 1/3 binary64))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/3 (* J (pow l 2)))
(.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 1/3 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow l 2))
(.f64 #s(literal 1/60 binary64) (.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/60 (pow l 4))
(.f64 (.f64 (.f64 #s(literal 1/60 binary64) (.f64 l l)) l) l)
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) #s(literal 1/60 binary64)))
(* 1/2520 (pow l 2))
(.f64 #s(literal 1/2520 binary64) (.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 1/2520 (pow l 6))
(*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (pow.f64 l #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) #s(literal 1/2520 binary64)) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2520 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 6 binary64)))

rewrite227.0ms (1.9%)

Memory

36.0MiB live, 350.3MiB allocated

Rules

6 386×	`lower-*.f32`
6 354×	`lower-*.f64`
5 488×	`lower-fma.f32`
5 472×	`lower-fma.f64`
4 670×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	426
0	95	402
1	334	402
2	2246	402
0	9663	398

Stop Event

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

Counts

28 → 446

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

Outputs
(.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (neg.f64 U))))
(.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))))))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (neg.f64 U)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))))))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (*.f64 U U) U))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l) (.f64 (.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)) l) (*.f64 #s(literal 2 binary64) l))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l (-.f64 #s(literal 4 binary64) (.f64 (.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)) l) (.f64 #s(literal 2 binary64) l))))))
(/.f64 (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l #s(literal -4 binary64)) (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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)) (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l (-.f64 #s(literal 4 binary64) (.f64 (.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)) l) (.f64 #s(literal 2 binary64) l)))) (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l) (.f64 (.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)) l) (*.f64 #s(literal 2 binary64) l)))))
(/.f64 (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l (-.f64 #s(literal 4 binary64) (.f64 (.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)) l) (.f64 #s(literal 2 binary64) l)))))
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l (-.f64 #s(literal 4 binary64) (.f64 (.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)) l) (.f64 #s(literal 2 binary64) l)))) (fma.f64 (.f64 (.f64 (.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)) l) (.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)) l)) (.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)) l)) (.f64 (.f64 l l) l) #s(literal 8 binary64))))
(fma.f64 (.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)) l) l #s(literal 2 binary64))
(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 (.f64 l l) (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)) #s(literal 2 binary64))
(fma.f64 l (.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)) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.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)) l) l))) (/.f64 (.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) l) (-.f64 #s(literal 2 binary64) (.f64 (.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)) l) l))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.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)) l) l) (.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)) l)) 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))) (/.f64 #s(literal 4 binary64) (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))))
(+.f64 (.f64 (.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)) l) l) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.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)) l) l))

eval309.0ms (2.6%)

Memory: -15.9MiB live, 416.0MiB allocated
Compiler: Compiled 34 580 to 2 435 computations (93% saved)

prune157.0ms (1.3%)

Memory

-13.0MiB live, 264.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 133	8	1 141
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	1 142	9	1 151

Accuracy

100.0%

Counts

1 151 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(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)
▶	82.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
✓	69.6%	#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 K #s(literal 1/2 binary64))) U))
	52.4%	#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 (* 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))
▶	50.8%	#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 (* K 1/2)) (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))
	55.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	60.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
▶	32.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	72.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))

Compiler

Compiled 322 to 203 computations (37% saved)

simplify144.0ms (1.2%)

Memory

-9.2MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
cost-diff	1152	(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 l J) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
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) #s(approx (cos (* K 1/2)) (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)
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) #s(approx (cos (* K 1/2)) (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))
cost-diff	0	(*.f64 l J)
cost-diff	0	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #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 (* K 1/2))) U) (fma.f64 (*.f64 l J) #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)

Rules

6 712×	`lower-fma.f32`
6 700×	`lower-fma.f64`
5 528×	`lower-*.f32`
5 504×	`lower-*.f64`
1 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	444
0	87	444
1	162	444
2	348	444
3	857	436
4	3462	424
0	8315	411

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

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

localize230.0ms (2%)

Memory

-6.3MiB live, 466.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))
accuracy	4.983666860280708	(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
accuracy	6.057336043045056	(/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U)
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
accuracy	0.00390625	(.f64 (.f64 l J) #s(literal 2 binary64))
accuracy	0.12109375	(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	30.7531709548525	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
accuracy	0.3148575539451861	(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy	19.45948243726514	#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 (* K 1/2)) (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))
accuracy	30.803477387802605	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
accuracy	0	(*.f64 l J)
accuracy	0.00390625	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy	12.032643896682922	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy	0	(sinh.f64 l)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
accuracy	0.00390625	(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
accuracy	28.748630038895804	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

79.0ms	197×	0	valid
59.0ms	59×	1	valid

Compiler

Compiled 293 to 54 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 40.0ms (36.9% of total)

ival-cos: 27.0ms (24.9% of total)

ival-exp: 12.0ms (11.1% of total)

ival-add: 10.0ms (9.2% of total)

adjust: 4.0ms (3.7% of total)

ival-div: 4.0ms (3.7% of total)

const: 4.0ms (3.7% of total)

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

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

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

exact: 1.0ms (0.9% of total)

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

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

series137.0ms (1.2%)

Memory

42.2MiB live, 191.8MiB allocated

Counts

26 → 840

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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 (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (* (* l J) 2) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (neg U) (cos (* K -1/2)) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (/ (* J (* -2 l)) U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1))
7.0ms	K	@	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 (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (* (* l J) 2) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (neg U) (cos (* K -1/2)) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (/ (* J (* -2 l)) U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1))
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 (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (* (* l J) 2) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (neg U) (cos (* K -1/2)) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (/ (* J (* -2 l)) U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1))
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 (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (* (* l J) 2) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (neg U) (cos (* K -1/2)) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (/ (* J (* -2 l)) U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1))
4.0ms	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 (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (* (* l J) 2) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (neg U) (cos (* K -1/2)) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (/ (* J (* -2 l)) U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1))

simplify223.0ms (1.9%)

Memory

-18.8MiB live, 294.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 986×	`lower-fma.f64`
15 986×	`lower-fma.f32`
6 264×	`lower-*.f64`
6 264×	`lower-*.f32`
3 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	9853
1	1104	9847
2	3394	9496
3	7519	9469
0	8083	8927

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 795

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))))))
(* 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))))))
(* 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 (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))))))
(* 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))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) 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 (/ (* 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 (* 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 (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 (* 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))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
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 (- (* -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 (- (* -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 (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 (- (* -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)))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -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 (* 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 (* 2 (* J l)))
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(* -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) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* -1 (* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J))))
(* -1 (* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J))))
(* -1 (* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 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)))))))))
(* 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)))))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
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)))
(* J l)
(* J l)
(* J l)
(* 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))))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
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 (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 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(+ 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))))))
(* 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))
(* 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 (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 (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J 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)))
(+ 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) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))
(* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))
(* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 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) (/ 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))))))
(* 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))))))
(* 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 (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J 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)))))
(+ 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) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J l) U))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))

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

rewrite282.0ms (2.4%)

Memory

-12.2MiB live, 321.9MiB allocated

Rules

5 900×	`lower-*.f32`
5 876×	`lower-*.f64`
4 540×	`lower-fma.f32`
4 528×	`lower-fma.f64`
4 310×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	387
0	87	379
1	284	379
2	1825	379
0	8393	369

Stop Event

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

Counts

26 → 429

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

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

eval201.0ms (1.7%)

Memory: 43.6MiB live, 306.5MiB allocated
Compiler: Compiled 29 416 to 1 655 computations (94.4% saved)

prune268.0ms (2.3%)

Memory

-35.3MiB live, 328.2MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 233	17	1 250
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1 235	24	1 259

Accuracy

100.0%

Counts

1 259 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(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)
✓	82.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
▶	78.6%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	78.6%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
	75.2%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	73.4%	(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
▶	73.4%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
✓	69.6%	#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 K #s(literal 1/2 binary64))) U))
	52.4%	#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 (* 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))
✓	50.8%	#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 (* K 1/2)) (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))
	41.2%	#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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (.f64 K K) #s(literal -1 binary64)))) U))
	36.1%	#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 (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
✓	60.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	72.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
▶	13.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
✓	32.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	32.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
▶	56.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
	42.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
▶	39.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
	62.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	23.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
	23.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
	29.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 1 038 to 585 computations (43.6% saved)

simplify145.0ms (1.2%)

Memory

14.2MiB live, 198.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
cost-diff	128	(-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))
cost-diff	320	(fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))
cost-diff	0	(neg.f64 U)
cost-diff	0	(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
cost-diff	0	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
cost-diff	0	#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
cost-diff	0	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
cost-diff	0	(neg.f64 U)
cost-diff	0	(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
cost-diff	0	(.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
cost-diff	0	(.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Rules

6 804×	`lower-fma.f32`
6 784×	`lower-fma.f64`
5 422×	`lower-*.f32`
5 380×	`lower-*.f64`
1 856×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	836
0	135	836
1	263	802
2	613	797
3	1522	777
4	2686	777
5	5005	777
6	7991	777
0	8035	745

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))
(neg.f64 U)
U
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(.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)
#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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(neg.f64 U)
U
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 l J) U)
(*.f64 l J)
l
J
(fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))
(*.f64 K K)
K
#s(literal 1/4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))
(fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (*.f64 U U) U))
(.f64 (.f64 (.f64 J J) J) (.f64 (*.f64 l l) l))
(.f64 (.f64 J J) J)
(*.f64 J J)
J
(.f64 (.f64 l l) l)
(*.f64 l l)
l
#s(literal 8 binary64)
(.f64 (.f64 U U) U)
(*.f64 U U)
U
(fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))
(.f64 (.f64 J l) (*.f64 J l))
(*.f64 J l)
#s(literal 4 binary64)
(.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))
(-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)

Outputs
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(literal 2 binary64)) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) U)
(.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))
(.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
(.f64 J #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (neg.f64 U))
(neg.f64 U)
U
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(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)
#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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) U) l) J #s(literal -1 binary64))) (neg.f64 U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) U) l) J #s(literal -1 binary64))) (neg.f64 U)))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) U) l) J #s(literal -1 binary64))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) U) l) J #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) U) l) J #s(literal -1 binary64))
(/.f64 (*.f64 l J) U)
(*.f64 (/.f64 l U) J)
(*.f64 l J)
(*.f64 J l)
l
J
(fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
(*.f64 K K)
K
#s(literal 1/4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 J J)) J) l) (.f64 l l) (.f64 (.f64 U U) U)) (fma.f64 (.f64 J l) (fma.f64 (.f64 #s(literal 4 binary64) l) J (.f64 #s(literal -2 binary64) U)) (*.f64 U U)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 J J)) J) l) (.f64 l l) (.f64 (.f64 U U) U)) (fma.f64 (.f64 J l) (fma.f64 (.f64 #s(literal 4 binary64) l) J (.f64 #s(literal -2 binary64) U)) (*.f64 U U))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 J J)) J) l) (.f64 l l) (.f64 (.f64 U U) U)) (fma.f64 (.f64 J l) (fma.f64 (.f64 #s(literal 4 binary64) l) J (.f64 #s(literal -2 binary64) U)) (*.f64 U U)))
(fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (*.f64 U U) U))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 J J)) J) l) (.f64 l l) (.f64 (*.f64 U U) U))
(.f64 (.f64 (.f64 J J) J) (.f64 (*.f64 l l) l))
(.f64 (.f64 (.f64 (.f64 (*.f64 J l) l) l) J) J)
(.f64 (.f64 J J) J)
(*.f64 J J)
J
(.f64 (.f64 l l) l)
(*.f64 l l)
l
#s(literal 8 binary64)
(.f64 (.f64 U U) U)
(*.f64 U U)
U
(fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))
(fma.f64 (.f64 J l) (fma.f64 (.f64 #s(literal 4 binary64) l) J (.f64 #s(literal -2 binary64) U)) (.f64 U U))
(.f64 (.f64 J l) (*.f64 J l))
(.f64 (.f64 (*.f64 J l) l) J)
(*.f64 J l)
#s(literal 4 binary64)
(.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))
(.f64 (fma.f64 (.f64 J l) #s(literal -2 binary64) U) U)
(-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))
(fma.f64 (*.f64 J l) #s(literal -2 binary64) U)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)

localize348.0ms (3%)

Memory

19.4MiB live, 643.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.032643896682922	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))
accuracy	15.739557205248158	(.f64 (.f64 (.f64 J J) J) (.f64 (*.f64 l l) l))
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
accuracy	43.88133938651809	(/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))
accuracy	5.107281414904075	(fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy	6.051524982596368	(/.f64 (*.f64 l J) U)
accuracy	18.576608763697287	#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
accuracy	0.08203125	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	2.8603849767168943	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	8.868702866924222	#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy	28.748630038895826	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
accuracy	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))
accuracy	4.983666860280708	(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))
accuracy	19.45948243726514	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
accuracy	31.89399512635385	#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))
accuracy	0.041347509768442016	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
accuracy	0.2942501984291357	(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
accuracy	4.013122451190226	#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
accuracy	28.748630038895826	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

134.0ms	197×	0	valid
100.0ms	59×	1	valid

Compiler

Compiled 502 to 84 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 97.0ms (50.6% of total)

ival-cos: 27.0ms (14.1% of total)

ival-add: 15.0ms (7.8% of total)

ival-exp: 14.0ms (7.3% of total)

const: 14.0ms (7.3% of total)

adjust: 7.0ms (3.6% of total)

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

ival-sub: 5.0ms (2.6% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series143.0ms (1.2%)

Memory

-18.1MiB live, 242.5MiB allocated

Counts

29 → 984

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) (patch (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) (patch #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())
#s(alt #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (patch #s(approx ( (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l) (patch (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)))) (patch (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)))) #<representation binary64>) () ())
#s(alt (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)) (patch (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))))) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)))))) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (patch #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 l J) U) (patch (/.f64 (.f64 l J) U) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) (patch (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #<representation binary64>) () ())

Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (patch (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) (patch (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)))))) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J)))))) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))) (taylor -inf l) (#s(alt #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* J l) U) (taylor -inf l) (#s(alt (/.f64 (.f64 l J) U) (patch (/.f64 (.f64 l J) U) #<representation binary64>) () ())) ())
#s(alt (/ (* J l) U) (taylor -inf l) (#s(alt (/.f64 (.f64 l J) U) (patch (/.f64 (.f64 l J) U) #<representation binary64>) () ())) ())
#s(alt (/ (* J l) U) (taylor -inf l) (#s(alt (/.f64 (.f64 l J) U) (patch (/.f64 (.f64 l J) U) #<representation binary64>) () ())) ())
#s(alt (/ (* J l) U) (taylor -inf l) (#s(alt (/.f64 (.f64 l J) U) (patch (/.f64 (.f64 l J) U) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* -1 (/ (* J (- (* 1/4 (pow K 2)) 2)) U)) (/ 1 l)))) (taylor -inf l) (#s(alt (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l))))) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l))))) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) (patch (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))) #<representation binary64>) () ())) ())
#s(alt (* (pow J 3) (pow l 3)) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) (patch (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 3) (pow l 3)) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) (patch (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 3) (pow l 3)) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) (patch (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 3) (pow l 3)) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) (patch (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	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 (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (neg U) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (* J (+ (* (* l l) 1/3) 2)) l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (- U (* (* 2 l) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (cos (* K -1/2)) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (+ (* (* l l) 1/3) 2) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (/ (* l J) U) (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (* (* (* J J) J) (* (* l l) l)))
12.0ms	K	@	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 (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (neg U) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (* J (+ (* (* l l) 1/3) 2)) l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (- U (* (* 2 l) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (cos (* K -1/2)) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (+ (* (* l l) 1/3) 2) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (/ (* l J) U) (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (* (* (* J J) J) (* (* l l) l)))
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 (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (neg U) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (* J (+ (* (* l l) 1/3) 2)) l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (- U (* (* 2 l) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (cos (* K -1/2)) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (+ (* (* l l) 1/3) 2) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (/ (* l J) U) (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (* (* (* J J) J) (* (* l l) l)))
7.0ms	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 (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (neg U) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (* J (+ (* (* l l) 1/3) 2)) l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (- U (* (* 2 l) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (cos (* K -1/2)) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (+ (* (* l l) 1/3) 2) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (/ (* l J) U) (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (* (* (* J J) J) (* (* l l) l)))
6.0ms	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 (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (neg U) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (* J (+ (* (* l l) 1/3) 2)) l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (- U (* (* 2 l) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (cos (* K -1/2)) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (+ (* (* l l) 1/3) 2) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (/ (* l J) U) (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (* (* (* J J) J) (* (* l l) l)))

simplify168.0ms (1.4%)

Memory

16.4MiB live, 246.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 540×	`lower-fma.f64`
8 540×	`lower-fma.f32`
5 814×	`lower-*.f64`
5 814×	`lower-*.f32`
2 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	12685
1	2148	12576
2	7270	12539
0	8147	11766

Stop Event

1×	iter limit
1×	node limit

Counts

984 → 935

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 (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))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 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 (* (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 (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))))))
(* 4 (* (pow J 2) (pow l 2)))
(+ (* -2 (* J (* U l))) (* 4 (* (pow J 2) (pow l 2))))
(+ (* 4 (* (pow J 2) (pow l 2))) (* U (+ U (* -2 (* J l)))))
(+ (* 4 (* (pow J 2) (pow l 2))) (* U (+ 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 (cos (* 1/2 K)))) U))
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (+ (* -2 (* J (* l (cos (* 1/2 K))))) (* -1 U)) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U)
(/ (+ (* -1 U) (* J (* l (- (* 1/4 (pow K 2)) 2)))) U)
(/ (+ (* -1 U) (* J (* l (- (* 1/4 (pow K 2)) 2)))) U)
(/ (+ (* -1 U) (* J (* l (- (* 1/4 (pow K 2)) 2)))) U)
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J 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 (* 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))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 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 (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))))
(pow U 2)
(* (pow U 2) (+ 1 (* -2 (/ (* J l) U))))
(* (pow U 2) (- (+ 1 (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))) (* 2 (/ (* J l) U))))
(* (pow U 2) (- (+ 1 (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))) (* 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))))
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
-1
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (- (+ 1 (* -1 (/ (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))) (pow U 2)))) (* -2 (/ (* J l) U))))
(* U (- (+ 1 (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) (pow U 3)))) (+ (* -4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) (+ (* -2 (/ (* J l) U)) (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))))))
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 (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)))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 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 (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)))
(pow U 2)
(* (pow U 2) (+ 1 (* -2 (/ (* J l) U))))
(* (pow U 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 2 (* J l))) U))))
(* (pow U 2) (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 2 (* J l))) U))))
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)))
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
-1
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
-1
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
(- (/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U) 1)
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) U)) (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2))))) U)) (* -2 (* J 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))))
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(* (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))))))
(* 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 (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)))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* -2 (/ (* J U) l)) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (+ (* -1 (/ (pow U 2) l)) (* 2 (* J U))) l)) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (+ (* -1 (/ (pow U 2) l)) (* 2 (* J U))) l)) (* 4 (pow J 2))))
(* -2 (* J l))
(* -1 (* l (- (* -1 (/ U l)) (* -2 J))))
(* -1 (* l (- (* -1 (/ U l)) (* -2 J))))
(* -1 (* l (- (* -1 (/ U l)) (* -2 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))))))
(* 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)))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* 1/5040 (pow l 6))
(* (pow l 6) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (+ (* 1/120 (/ 1 (pow l 2))) (/ 1 (pow l 6))))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* 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)))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(* -1 (* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J (* l (- (* 1/4 (pow K 2)) 2))) U)
(* -1 (* l (+ (* -1 (/ (* J (- (* 1/4 (pow K 2)) 2)) U)) (/ 1 l))))
(* -1 (* l (+ (* -1 (/ (* J (- (* 1/4 (pow K 2)) 2)) U)) (/ 1 l))))
(* -1 (* l (+ (* -1 (/ (* J (- (* 1/4 (pow K 2)) 2)) U)) (/ 1 l))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l)))))
(* (pow J 3) (pow l 3))
(* (pow J 3) (pow l 3))
(* (pow J 3) (pow l 3))
(* (pow J 3) (pow l 3))

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

rewrite238.0ms (2%)

Memory

16.7MiB live, 250.7MiB allocated

Rules

5 290×	`lower-fma.f32`
5 270×	`lower-fma.f64`
5 042×	`lower-*.f32`
5 000×	`lower-*.f64`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	683
0	135	647
1	476	639
2	3287	639
0	8613	617

Stop Event

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

Counts

29 → 424

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
#s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))
(neg.f64 U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
#s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) l) J))))
(-.f64 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 (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J))))))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 l J) U)
(fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 #s(literal 2 binary64) l) J)))))
(.f64 (.f64 (.f64 J J) J) (.f64 (*.f64 l l) l))

Outputs
(.f64 (.f64 (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) U) (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U))))
(.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 U (-.f64 U (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U)) (.f64 (fma.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) U) (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 U (-.f64 U (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))))))) (fma.f64 (.f64 U U) U (pow.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (.f64 (.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))))) (neg.f64 (-.f64 U (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) U) (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 U (-.f64 U (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l))))))))))
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eval479.0ms (4.1%)

Memory: -205.7MiB live, 343.2MiB allocated
Compiler: Compiled 39 549 to 2 107 computations (94.7% saved)

prune213.0ms (1.8%)

Memory

18.6MiB live, 429.1MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1 370	23	1 393
Fresh	7	7	14
Picked	2	3	5
Done	0	5	5
Total	1 379	38	1 417

Accuracy

100.0%

Counts

1 417 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(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)
✓	82.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	71.3%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
	78.6%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	78.6%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	78.6%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	73.4%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
	73.1%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
	62.2%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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)
	60.9%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
	66.4%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
✓	73.4%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
	65.2%	(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
	67.4%	(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
✓	69.6%	#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 K #s(literal 1/2 binary64))) U))
	52.4%	#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 (* 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))
✓	50.8%	#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 (* K 1/2)) (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))
	36.1%	#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 (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
✓	60.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	72.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
	3.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
	17.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
	3.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
	6.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
	25.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
✓	32.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	32.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
✓	56.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
	59.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
	12.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
✓	39.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
	62.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	55.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	49.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
	23.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
	23.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
	29.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
	38.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) U)))))

Compiler

Compiled 2 108 to 779 computations (63% saved)

regimes219.0ms (1.9%)

Memory

15.4MiB live, 321.3MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 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:

35.0ms	l
31.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
30.0ms	K
23.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
19.0ms	(*.f64 J (-.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 93 to 73 computations (21.5% saved)

regimes216.0ms (1.8%)

Memory

-7.4MiB live, 263.1MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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

(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)

(+.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)

Calls

10 calls:

41.0ms	J
25.0ms	K
17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	(+.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
95.5%	1	`J`
95.5%	1	`l`
97.9%	2	`K`
95.5%	1	`U`
95.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
95.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
95.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes234.0ms (2%)

Memory

-7.7MiB live, 290.8MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(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)

(+.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)

Calls

10 calls:

43.0ms	(/.f64 K #s(literal 2 binary64))
38.0ms	U
38.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
24.0ms	l
17.0ms	(+.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
94.3%	1	`l`
94.3%	1	`J`
94.3%	1	`U`
94.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
94.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.7%	2	`K`
96.7%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes159.0ms (1.4%)

Memory

26.1MiB live, 329.7MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(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)

(+.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)

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
89.5%	1	`J`
94.3%	3	`l`
89.5%	1	`U`
89.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
89.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
89.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.2%	2	`K`
95.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes62.0ms (0.5%)

Memory

-14.0MiB live, 75.2MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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

(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)

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

Calls

3 calls:

27.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
94.1%	2	`K`
94.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes36.0ms (0.3%)

Memory

-8.4MiB live, 69.5MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J (.f64 #s(literal -2 binary64) l)) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))))

Outputs

(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) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Calls

2 calls:

18.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	K

Results

Accuracy	Segments	Branch
94.1%	2	`K`
94.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes152.0ms (1.3%)

Memory

-2.6MiB live, 237.1MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 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:

32.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	U
13.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
13.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
89.8%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
87.6%	3	`J`
85.2%	3	`U`
89.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
89.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
89.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.8%	3	`l`
89.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
88.1%	3	`K`
88.1%	3	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes34.0ms (0.3%)

Memory

-15.3MiB live, 23.2MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(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 (* K 1/2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Outputs

(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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

1 calls:

31.0ms

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

Results

Accuracy	Segments	Branch
89.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes98.0ms (0.8%)

Memory

-0.5MiB live, 157.2MiB 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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 l J) #s(literal -2 binary64) U) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (.f64 l #s(literal 4 binary64)) (.f64 (.f64 l J) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) #s(approx (+ ( (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J)))) (.f64 (fma.f64 (.f64 U J) #s(literal -2 binary64) (.f64 (.f64 (*.f64 l J) J) #s(literal 4 binary64))) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U #s(approx (- U ( (* 2 l) J)) (.f64 (.f64 l J) #s(literal -2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 J J) J) (.f64 (.f64 l l) l)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 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 (* K 1/2))) U) #s(approx (* (neg U) (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 l J))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) (neg.f64 U) 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 (* K 1/2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal 1/23040 binary64) (.f64 (/.f64 l U) #s(literal -1/192 binary64)))) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))))))

Outputs

(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)

(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

8 calls:

16.0ms	l
14.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
12.0ms	K
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.5%	2	`K`
80.5%	2	`(/.f64 K #s(literal 2 binary64))`
80.9%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
80.5%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
81.0%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
82.5%	2	`l`
81.7%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
86.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 83 to 65 computations (21.7% saved)

regimes22.0ms (0.2%)

Memory

12.2MiB live, 50.7MiB 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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l) l #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (fma.f64 (.f64 #s(literal 2 binary64) J) l (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) l) J (.f64 (.f64 (.f64 (.f64 K K) l) J) (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 K K))))))

Outputs

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

(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)

Calls

2 calls:

11.0ms	J
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.6%	1	`J`
85.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes10.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) l)) J) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/5040 (* l l)) 1/120) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (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)

Outputs

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

(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.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)) l)) J) #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
85.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes49.0ms (0.4%)

Memory

-10.5MiB live, 28.1MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (.f64 J (/.f64 l U)) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) (fma.f64 (/.f64 (.f64 l J) U) (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))))

Outputs

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

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

Calls

3 calls:

33.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	U
7.0ms	l

Results

Accuracy	Segments	Branch
79.2%	2	`l`
78.6%	3	`U`
82.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes51.0ms (0.4%)

Memory

0.2MiB live, 54.5MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) J) l)) #s(literal 2 binary64)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) #s(approx (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/384 binary64)))) U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) l (.f64 (.f64 #s(literal 2 binary64) l) J))) #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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(approx (+ (* (/ (* l J) U) (+ (* (* K K) 1/4) -2)) -1) (.f64 (/.f64 (.f64 (.f64 (.f64 K K) l) J) U) #s(literal 1/4 binary64)))))))
#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 (* K 1/2)) (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))

Outputs

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

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

Calls

7 calls:

13.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	K
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms	(+.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
75.2%	1	`K`
75.2%	1	`(/.f64 K #s(literal 2 binary64))`
75.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
75.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
75.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
75.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
80.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes34.0ms (0.3%)

Memory

-12.9MiB live, 25.4MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (.f64 #s(literal 2 binary64) J)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(approx ( (sinh l) J) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) J) 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) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))

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

Calls

3 calls:

23.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms	J
5.0ms	l

Results

Accuracy	Segments	Branch
73.4%	1	`l`
73.4%	1	`J`
78.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes62.0ms (0.5%)

Memory

10.0MiB live, 48.5MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (*.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 (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 #s(approx ( J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (.f64 l J) l) #s(literal 1/3 binary64))) l)) #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 (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) #s(approx (/ (+ (* (* (* (* J J) J) (* (* l l) l)) 8) (* (* U U) U)) (+ (* (* (* J l) (* J l)) 4) (* U (- U (* (* 2 l) J))))) (.f64 (fma.f64 (/.f64 (.f64 l 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 (* K 1/2))) U) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)) #s(approx (+ (* (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))

Outputs

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

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

Calls

10 calls:

5.0ms	K
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	U
4.0ms	J
4.0ms	l

Results

Accuracy	Segments	Branch
72.1%	3	`J`
75.1%	3	`l`
75.1%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
67.4%	1	`K`
75.1%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
75.1%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
75.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
67.4%	1	`(/.f64 K #s(literal 2 binary64))`
73.1%	3	`U`
72.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes48.0ms (0.4%)

Memory

2.2MiB live, 41.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

21.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	U
3.0ms	J
3.0ms	l

Results

Accuracy	Segments	Branch
60.0%	1	`K`
60.0%	1	`(/.f64 K #s(literal 2 binary64))`
60.0%	1	`J`
63.5%	3	`U`
65.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
66.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
66.4%	3	`l`
66.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
66.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
66.3%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

3.0ms	l
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.4%	3	`l`
60.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes25.0ms (0.2%)

Memory

-18.9MiB live, 19.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	U
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))))

Results

Accuracy	Segments	Branch
60.0%	1	`U`
60.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
60.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
60.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
60.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
60.0%	1	`l`

Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes21.0ms (0.2%)

Memory

-6.5MiB live, 31.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

10 calls:

5.0ms	l
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	J
2.0ms	U
2.0ms	(+.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
52.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
52.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
49.9%	3	`J`
52.3%	3	`l`
43.0%	2	`K`
43.0%	2	`(/.f64 K #s(literal 2 binary64))`
39.4%	1	`U`
52.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
39.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
53.0%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

1.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	K
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	J
1.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
39.4%	1	`K`
39.4%	1	`(/.f64 K #s(literal 2 binary64))`
39.4%	1	`J`
39.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
39.4%	1	`l`
39.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
39.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
39.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 80 to 62 computations (22.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11494051272382.164	74790354834248.97

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11494051272382.164	74790354834248.97

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11494051272382.164	74790354834248.97

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11494051272382.164	74790354834248.97

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11494051272382.164	74790354834248.97

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07418918144172704	-0.06313243064097383

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.384721033549369e+234	+inf
0.0ms	-1.0538335527970634e+248	-5.287977365835041e-71

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.13164771456140817	-0.09813434865982162

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch50.0ms (0.4%)

Memory

-21.0MiB live, 53.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.047058176859943e+64	1.1249525375317775e+65
20.0ms	-8.37880548947611e+34	-1.1022188007219454e+34

Samples

32.0ms

192×

valid

Compiler

Compiled 394 to 249 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 17.0ms (63.8% of total)

ival-cos: 4.0ms (15% of total)

ival-exp: 2.0ms (7.5% of total)

ival-div: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

ival-sub: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0137994655770112e+175	2.016377996350554e+203
0.0ms	-5.287977365835041e-71	-8.852805543752505e-194

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify17.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative_binary64`
20×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1409
1	266	1409
2	279	1409
3	289	1409
4	293	1409
5	294	1409

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 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/18014398509481984 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 K #s(literal 1/2 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #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 -3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -15000000000000000913010721715912704 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 10500000000000000150789317732726021248978966012499480958333878272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64))))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))

Outputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.f64 (.f64 (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)) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (+.f64 (.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000000000000 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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/18014398509481984 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 K #s(literal 1/2 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 -1261007895663739/18014398509481984 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #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 -3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #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 -3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* l l)) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/6 binary64)) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.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)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 (.f64 #s(approx (sinh l) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (* (sinh l) J) 2) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616 binary64)) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) (fma.f64 #s(approx ( (* (sinh l) J) 2) #s(approx (* (* J (+ (* (* l l) 1/3) 2)) l) (.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) J))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) 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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -15000000000000000913010721715912704 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 10500000000000000150789317732726021248978966012499480958333878272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 l #s(literal -15000000000000000913010721715912704 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (.f64 J l))))) (if (<=.f64 l #s(literal 10500000000000000150789317732726021248978966012499480958333878272 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) 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 (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64))))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal -6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64))))) (if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (neg.f64 U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 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 (* K 1/2))) U) (.f64 (neg.f64 U) #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 #s(approx (+ ( (/ (* J (* -2 l)) U) (cos (* 1/2 K))) -1) #s(literal -1 binary64)) (neg.f64 U))))

soundness1.8s (15.3%)

Memory

-5.8MiB live, 1 417.5MiB allocated

Rules

16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
15 986×	`lower-fma.f64`
15 986×	`lower-fma.f32`
15 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	12685
1	2148	12576
2	7270	12539
0	8147	11766
0	344	9853
1	1104	9847
2	3394	9496
3	7519	9469
0	8083	8927
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	1568
0	339	8921
1	1130	8915
2	3432	8479
3	7305	8470
0	8355	8002
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37

Stop Event

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

Compiler

Compiled 2 491 to 1 177 computations (52.7% saved)

preprocess172.0ms (1.5%)

Memory: -0.1MiB live, 370.4MiB allocated
Remove: (abs K)
Compiler: Compiled 1 722 to 408 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (14.9%)

explain242.0ms (2.1%)

preprocess93.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (0.5%)

localize99.0ms (0.8%)

series21.0ms (0.2%)

simplify225.0ms (1.9%)

rewrite207.0ms (1.8%)

eval91.0ms (0.8%)

prune182.0ms (1.6%)

simplify287.0ms (2.4%)

localize590.0ms (5%)

series103.0ms (0.9%)

simplify294.0ms (2.5%)

rewrite227.0ms (1.9%)

eval309.0ms (2.6%)

prune157.0ms (1.3%)

simplify144.0ms (1.2%)

localize230.0ms (2%)

series137.0ms (1.2%)

simplify223.0ms (1.9%)

rewrite282.0ms (2.4%)

eval201.0ms (1.7%)

prune268.0ms (2.3%)

simplify145.0ms (1.2%)

localize348.0ms (3%)

series143.0ms (1.2%)

simplify168.0ms (1.4%)

rewrite238.0ms (2%)

eval479.0ms (4.1%)

prune213.0ms (1.8%)

regimes219.0ms (1.9%)

regimes216.0ms (1.8%)

regimes234.0ms (2%)

regimes159.0ms (1.4%)

regimes62.0ms (0.5%)

regimes36.0ms (0.3%)

regimes152.0ms (1.3%)

regimes34.0ms (0.3%)

regimes98.0ms (0.8%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes49.0ms (0.4%)

regimes51.0ms (0.4%)

regimes34.0ms (0.3%)

regimes62.0ms (0.5%)

regimes48.0ms (0.4%)

regimes6.0ms (0.1%)

regimes25.0ms (0.2%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch50.0ms (0.4%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness1.8s (15.3%)

preprocess172.0ms (1.5%)

end0.0ms (0%)

Profiling