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)

sample1.8s (13%)

Memory

15.7MiB live, 2 981.3MiB allocated

Samples

708.0ms	1 893×	1	valid
690.0ms	6 363×	0	valid

Precisions

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

ival-exp: 423.0ms (38.2% of total)

ival-cos: 287.0ms (25.9% of total)

ival-mult: 145.0ms (13.1% of total)

ival-div: 56.0ms (5.1% of total)

ival-sub: 51.0ms (4.6% of total)

adjust: 50.0ms (4.5% of total)

ival-add: 48.0ms (4.3% of total)

ival-neg: 32.0ms (2.9% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain235.0ms (1.7%)

Memory

-0.9MiB live, 350.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	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	(9.439313483861507e+109 2.2661101635326608e+229 -7.455694056570733e+26 -2.856172028975852e+71)	-	`(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	1	(6.243315763660468e-303 126.71312120748098 1.0674735213446393e-302 7.051500023494858e+66)	-	`(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	33	1
`exp.f64`	`(exp.f64 (neg.f64 l))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	27	0
-	115	114

Precision

0.19014084507042253

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	0
-	115	2	112

Precision?

0.1875

Recall?

1.0

Freqs

test

number	freq
0	114
1	126
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	184×	1	valid
34.0ms	266×	0	valid
30.0ms	62×	2	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-exp: 45.0ms (49.4% of total)

ival-cos: 15.0ms (16.5% of total)

ival-mult: 9.0ms (9.9% of total)

adjust: 7.0ms (7.7% of total)

ival-add: 5.0ms (5.5% of total)

ival-sub: 4.0ms (4.4% of total)

ival-div: 4.0ms (4.4% of total)

ival-neg: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess97.0ms (0.7%)

Memory

36.9MiB live, 113.1MiB 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))) 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(+.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)

simplify67.0ms (0.5%)

Memory

-6.6MiB live, 41.1MiB 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 (*.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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (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

localize92.0ms (0.7%)

Memory

-15.4MiB live, 139.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	0.0078125	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.08203125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.607307006576914	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

41.0ms	92×	1	valid
23.0ms	133×	0	valid
15.0ms	31×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-exp: 24.0ms (40.7% of total)

ival-cos: 14.0ms (23.7% of total)

adjust: 10.0ms (17% of total)

ival-mult: 5.0ms (8.5% of total)

ival-sub: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

ival-div: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-6.4MiB live, 31.0MiB allocated

Counts

4 → 120

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>) () ())

Outputs
#s(alt U (taylor 0 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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)))) (/ U J))) (taylor inf J) (#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)))) (/ U J))) (taylor inf J) (#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)))) (/ U J))) (taylor inf J) (#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 J) (#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 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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 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 (+ 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 (+ 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>) () ())) ())
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#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf 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)))) (taylor 0 J) (#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 0 J) (#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 0 J) (#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 0 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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 J) (#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 (* 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 (* 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 (* 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 (* 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 (- (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 (- (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

30 calls:

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

simplify360.0ms (2.7%)

Memory

24.2MiB live, 336.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 664×	`lower-fma.f64`
15 664×	`lower-fma.f32`
5 762×	`lower-+.f64`
5 762×	`lower-+.f32`
4 998×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1686
1	422	1686
2	1391	1576
3	3444	1576
0	8364	1502

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

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

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

rewrite285.0ms (2.1%)

Memory

-33.5MiB live, 164.6MiB 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	42
0	23	34
1	72	34
2	433	34
0	4485	33

Stop Event

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

Counts

4 → 262

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)))

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

eval94.0ms (0.7%)

Memory: -8.4MiB live, 65.5MiB allocated
Compiler: Compiled 11 089 to 1 112 computations (90% saved)

prune225.0ms (1.7%)

Memory

1.0MiB live, 84.2MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	366	12	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	12	379

Accuracy

100.0%

Counts

379 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	99.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	92.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	94.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	87.3%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	93.4%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	90.7%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	85.8%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	67.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
▶	67.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
▶	85.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	77.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Compiler

Compiled 536 to 342 computations (36.2% saved)

simplify243.0ms (1.8%)

Memory

25.7MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	320	(fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 J #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Rules

8 216×	`lower-fma.f32`
8 204×	`lower-fma.f64`
4 244×	`lower-*.f32`
4 210×	`lower-*.f64`
1 704×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	465
0	89	465
1	180	465
2	413	460
3	1018	442
4	1911	442
5	3247	442
0	8571	433

Stop Event

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

Calls

Call 1

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

localize371.0ms (2.7%)

Memory

8.4MiB live, 288.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
accuracy	0.49049845735449416	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	3.526804356342123	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
accuracy	6.200563603438355	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
accuracy	0.0703125	(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.08203125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.33203125	(*.f64 l #s(literal 1/3 binary64))
accuracy	10.767248372508956	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.08203125	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.33203125	(*.f64 l #s(literal 1/3 binary64))
accuracy	3.3612336190449947	(.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy	9.54092655860188	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.0703125	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.06640625	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
accuracy	0.08203125	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

Samples

98.0ms	92×	1	valid
81.0ms	133×	0	valid
32.0ms	31×	2	valid

Compiler

Compiled 363 to 49 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 79.0ms (45.5% of total)

ival-exp: 22.0ms (12.7% of total)

adjust: 19.0ms (10.9% of total)

ival-cos: 18.0ms (10.4% of total)

ival-sub: 12.0ms (6.9% of total)

ival-add: 11.0ms (6.3% of total)

const: 8.0ms (4.6% of total)

ival-div: 1.0ms (0.6% of total)

ival-sinh: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series134.0ms (1%)

Memory

0.9MiB live, 157.2MiB allocated

Counts

26 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
28.0ms	J	@	0	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
10.0ms	K	@	inf	(+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U)
6.0ms	K	@	-inf	(+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U)
4.0ms	l	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
2.0ms	l	@	-inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)

simplify390.0ms (2.9%)

Memory

-1.9MiB live, 553.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 568×	`lower-fma.f64`
21 568×	`lower-fma.f32`
7 226×	`lower-*.f64`
7 226×	`lower-*.f32`
4 850×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	10509
1	1446	10245
2	4946	9663
0	8203	9105

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 713

Calls

Call 1

Inputs
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 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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 (* (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) (/ 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
(+ 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 (* 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) (/ 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) (/ 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
(* 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
(* -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)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
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)))
(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) (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)))) (/ 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)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
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(+ 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) (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)))
(* 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 (* (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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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))))))))))
(* 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 (* -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 (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))))))))))
(* 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 (* (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 (- (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 (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 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 (- (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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 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))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
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)))) (/ 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)))))
(* -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)))))
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 (* 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 (* -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 (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (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))))))
(+ 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) (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)))
(* 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 (* (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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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))))))))))
(* 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 (* -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 (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))))))))))
(* 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 (* (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 (- (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 (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 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 (- (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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
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))))))))
(* 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))))
(* 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))))
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 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)))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (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 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)))))
(* 1/3 (* J l))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* 1/60 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))

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

rewrite376.0ms (2.8%)

Memory

-0.9MiB live, 466.7MiB allocated

Rules

5 778×	`lower-*.f32`
5 744×	`lower-*.f64`
5 706×	`lower-fma.f32`
5 694×	`lower-fma.f64`
3 778×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	361
0	89	343
1	311	341
2	2077	341
0	8847	339

Stop Event

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

Counts

26 → 450

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))
(+.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 J (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) U))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))) (pow.f64 (.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) U)) #s(literal 3 binary64)))) (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 U U) (.f64 U U) (pow.f64 (.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) U)) #s(literal 2 binary64)))) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (fma.f64 (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (neg.f64 U)))))))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
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(/.f64 (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l))) #s(literal 1/5832000 binary64)))) (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64)))) (.f64 l (.f64 J #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))))
(+.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 (.f64 J l) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l) (.f64 (.f64 J #s(literal 1/3 binary64)) l))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)))
(+.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)))
(fma.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 l (*.f64 J #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 J l) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (*.f64 J l)))
(fma.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l) (.f64 #s(literal 1/3 binary64) (*.f64 J l)))
(fma.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l (.f64 (*.f64 J #s(literal 1/3 binary64)) l))
(fma.f64 (.f64 J l) #s(literal 1/3 binary64) (.f64 (.f64 J l) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))
(fma.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 (*.f64 J l) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))))
(/.f64 (.f64 (.f64 J l) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 l (.f64 J #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64)))) (.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64)))) (-.f64 (.f64 (.f64 l (.f64 J #s(literal 1/3 binary64))) (.f64 l (.f64 J #s(literal 1/3 binary64)))) (.f64 (.f64 l (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64)))) (.f64 l (.f64 J #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64)))) (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) (-.f64 (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 J l) (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 (.f64 J l) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal 1/3 binary64)) l) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l) (.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l) (-.f64 (.f64 (.f64 (.f64 J #s(literal 1/3 binary64)) l) (.f64 (.f64 J #s(literal 1/3 binary64)) l)) (.f64 (.f64 (.f64 J (.f64 (.f64 l l) #s(literal 1/60 binary64))) l) (.f64 (.f64 J #s(literal 1/3 binary64)) l)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)) (-.f64 (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))))))
(.f64 J (.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) l))
(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(.f64 (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) J)

eval247.0ms (1.8%)

Memory: 10.8MiB live, 443.1MiB allocated
Compiler: Compiled 37 578 to 2 525 computations (93.3% saved)

prune262.0ms (1.9%)

Memory

-25.4MiB live, 481.2MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 244	22	1 266
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1 254	24	1 278

Accuracy

100.0%

Counts

1 278 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	94.9%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	73.1%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	82.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	90.7%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	93.4%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.2%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	67.1%	#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 l #s(literal 2 binary64))) J U))
	85.8%	#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 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
	67.1%	#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 #s(literal 2 binary64))) l U))
	49.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
▶	50.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	60.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	61.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	65.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	61.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
▶	51.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
	52.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
▶	58.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	27.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	55.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
	45.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))

Compiler

Compiled 1 180 to 694 computations (41.2% saved)

simplify341.0ms (2.5%)

Memory

28.9MiB live, 582.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
cost-diff	0	#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
cost-diff	0	(fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
cost-diff	1024	(fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))
cost-diff	0	(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
cost-diff	0	(*.f64 l #s(literal 2 binary64))
cost-diff	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)))
cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)

Rules

16 392×	`lower-fma.f32`
16 364×	`lower-fma.f64`
6 264×	`lower-+.f64`
6 264×	`lower-+.f32`
5 888×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	733
0	122	721
1	267	711
2	710	711
3	2582	679
4	6742	679
5	6937	679
6	7179	679
7	7912	679
0	8122	671

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))
(fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
J
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
K
(.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(*.f64 K K)
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 J (.f64 l #s(literal 2 binary64)))
J
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U)
l
#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
(fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))
K
(.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))))
(.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(*.f64 K K)
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
#s(literal 1/384 binary64)
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))
(fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)
(.f64 K (.f64 J #s(literal -1/8 binary64)))
(*.f64 J #s(literal -1/8 binary64))
#s(literal -1/8 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 l #s(literal 2 binary64))) J U))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #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)
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
J
U

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))
#s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))
(fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)
(fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
J
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (.f64 (.f64 l #s(literal 2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) U))
(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
(fma.f64 J (.f64 (.f64 l #s(literal 2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) U)
#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
K
(.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))
(.f64 K (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(*.f64 K K)
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(.f64 J (.f64 l #s(literal 2 binary64)))
J
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) J (.f64 (.f64 K (.f64 J (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K))) (*.f64 K K))))) U))
(fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U)
(fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) J (.f64 (.f64 K (.f64 J (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K))) (*.f64 K K))))) U)
l
#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) J (.f64 (.f64 K (.f64 J (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K))) (*.f64 K K)))))
(fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) J (.f64 (.f64 K (.f64 J (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K))) (*.f64 K K))))
K
(.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) (.f64 K (*.f64 K K))))
(.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 K (.f64 J (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K))))
(*.f64 K K)
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(.f64 J (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
#s(literal 1/384 binary64)
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 J (.f64 K (.f64 K #s(literal -1/8 binary64))) J))
(fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)
(fma.f64 J (.f64 K (.f64 K #s(literal -1/8 binary64))) J)
(.f64 K (.f64 J #s(literal -1/8 binary64)))
(.f64 J (.f64 K #s(literal -1/8 binary64)))
(*.f64 J #s(literal -1/8 binary64))
#s(literal -1/8 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #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)
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
J
U

localize340.0ms (2.5%)

Memory

-26.4MiB live, 532.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0390625	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
accuracy	0.11328125	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64)))
accuracy	21.048735765864947	#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 l #s(literal 2 binary64))) J U))
accuracy	3.090595990026578	(.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
accuracy	9.54092655860188	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
accuracy	9.911904918671564	(.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
accuracy	27.439334507586107	#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
accuracy	0.0703125	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
accuracy	0.11328125	(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
accuracy	30.94704306680763	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
accuracy	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
accuracy	0	(*.f64 l #s(literal 2 binary64))
accuracy	11.706589619279216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
accuracy	0.08203125	(.f64 l (.f64 l l))
accuracy	0.08203125	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	0.4583467082756877	(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	4.355430357614058	#s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))

Samples

117.0ms	202×	0	valid
74.0ms	54×	1	valid

Compiler

Compiled 491 to 76 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 57.0ms (39.3% of total)

ival-cos: 21.0ms (14.5% of total)

const: 20.0ms (13.8% of total)

ival-add: 20.0ms (13.8% of total)

ival-exp: 12.0ms (8.3% of total)

adjust: 6.0ms (4.1% of total)

ival-sub: 4.0ms (2.8% of total)

ival-div: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

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

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

series127.0ms (0.9%)

Memory

-2.8MiB live, 114.9MiB allocated

Counts

25 → 780

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) (patch (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #<representation binary64>) () ())
#s(alt (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 J (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 #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (patch (fma.f64 J (.f64 l #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (.f64 l #s(literal 2 binary64)) (patch (.f64 l #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U) (patch (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U) #<representation binary64>) () ())
#s(alt #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (patch (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) (patch (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U) (patch (fma.f64 l #s(approx ( (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U) #<representation binary64>) () ())
#s(alt #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) (patch #s(approx ( (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) #<representation binary64>) () ())
#s(alt #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 l #s(literal 2 binary64))) J U)) (patch #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 l #s(literal 2 binary64))) J U)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) J U) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)) (patch #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 l l)) (patch (.f64 l (.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (patch (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))) (patch (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ 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))))))))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
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#s(alt (* 1/384 J) (taylor 0 K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)) (taylor 0 K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)) (taylor 0 K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)) (taylor 0 K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/46080 (* J (pow K 2))) (taylor inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/46080 (* J (pow K 2))) (taylor -inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor -inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor -inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2))))) (taylor -inf K) (#s(alt (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (patch (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #<representation binary64>) () ())) ())

Calls

195 calls:

Time	Variable		Point	Expression
7.0ms	J	@	inf	(+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J)))
2.0ms	J	@	0	(+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J)))
2.0ms	l	@	0	(+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J)))
1.0ms	J	@	-inf	(+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J)))
1.0ms	l	@	inf	(+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J)))

simplify306.0ms (2.3%)

Memory

38.8MiB live, 458.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 956×	`lower-fma.f64`
12 956×	`lower-fma.f32`
8 520×	`lower-*.f64`
8 520×	`lower-*.f32`
2 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	12348
1	1600	12102
2	5880	11030
0	8198	10265

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 738

Calls

Call 1

Inputs
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 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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 (* (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) (/ 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
(+ 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 (* 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) (/ 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) (/ 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
(* 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
(* -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)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
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)))
(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) (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)))) (/ 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)))))
(* -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)))))
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 (* 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 (* -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 (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (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))))))
(+ 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) (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 (* 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 (* 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 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)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
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)))))
(* 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)))))
(* -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)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -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
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
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(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* 2 (* J (cos (* 1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
U
(+ 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)))) (/ 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)))))
(* -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)))))
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 (* 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 (* -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 (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (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))))))
(+ 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) (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 (* 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 (* 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 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)))))
(* 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)))))
(* -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
(+ 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)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -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)))
(* 2 l)
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
(* 2 (* l (cos (* 1/2 K))))
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))))))))
(* 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))))
(* 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))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(* 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 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)))))
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))))
(* -1/46080 (* J (* (pow K 4) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* -1/46080 (* J (* (pow K 4) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 4) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* 2 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))))
(+ (* 1/3 (* J (* (pow K 2) (* (pow l 2) (+ 1/384 (* -1/46080 (pow K 2))))))) (* 2 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))
(+ (* 1/3 (* J (* (pow K 2) (* (pow l 2) (+ 1/384 (* -1/46080 (pow K 2))))))) (* 2 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))
(+ (* 1/3 (* J (* (pow K 2) (* (pow l 2) (+ 1/384 (* -1/46080 (pow K 2))))))) (* 2 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))
(* 1/3 (* J (* (pow K 2) (* (pow l 2) (+ 1/384 (* -1/46080 (pow K 2)))))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* 1/3 (* J (* (pow K 2) (* (pow l 2) (+ 1/384 (* -1/46080 (pow K 2)))))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))) (* 2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2)))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* J (+ 1/384 (* -1/46080 (pow K 2))))
(* 1/384 J)
(+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))
(+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))
(+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))
(* -1/46080 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))
(* -1/46080 (* J (pow K 2)))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))
(* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))

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

rewrite298.0ms (2.2%)

Memory

-23.2MiB live, 423.7MiB allocated

Rules

4 922×	`lower-*.f32`
4 886×	`lower-*.f64`
4 704×	`lower-fma.f32`
4 676×	`lower-fma.f64`
3 110×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	548
0	122	530
1	483	522
2	3418	518
0	8378	510

Stop Event

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

Counts

25 → 361

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(*.f64 l #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U)
#s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
#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 l #s(literal 2 binary64))) J U))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64)))
#s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(.f64 l (.f64 l l))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))

Outputs
(+.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64))) U)
(fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) U)
(fma.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/64 binary64)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)))) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K))) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 #s(literal 1/56623104 binary64) (.f64 K (.f64 K K))) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K))))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))) (fma.f64 (.f64 K (.f64 K K)) (.f64 #s(literal 1/56623104 binary64) (.f64 K (.f64 K K))) #s(literal -1/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 #s(literal 1/56623104 binary64) (.f64 K (.f64 K K))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/64 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(.f64 (fma.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))))
(+.f64 (.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J))) (.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 J #s(literal 1/384 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 K (.f64 K (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (*.f64 J #s(literal 1/384 binary64))))
(.f64 K (.f64 (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 K K)))
(.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (.f64 K K))
(.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (.f64 K K)))
(.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))
(.f64 (.f64 (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) K)
(.f64 (.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 K K) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(.f64 (.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) J) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(.f64 (.f64 (.f64 K (.f64 K (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) J)
(+.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 J #s(literal 1/384 binary64)))
(+.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J))) (-.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 J #s(literal 1/384 binary64)))) (/.f64 (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 J #s(literal 1/384 binary64))) (-.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 J #s(literal 1/384 binary64)))))
(fma.f64 J #s(literal 1/384 binary64) (.f64 #s(literal -1/46080 binary64) (.f64 (*.f64 K K) J)))
(fma.f64 J (.f64 (.f64 K K) #s(literal -1/46080 binary64)) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 K (.f64 (.f64 K #s(literal -1/46080 binary64)) J) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 (.f64 K K) (.f64 #s(literal -1/46080 binary64) J) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 #s(literal 1/384 binary64) J (.f64 #s(literal -1/46080 binary64) (.f64 (*.f64 K K) J)))
(fma.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) J (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 (.f64 J K) (.f64 K #s(literal -1/46080 binary64)) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (*.f64 J #s(literal 1/384 binary64)))
(fma.f64 (.f64 J #s(literal -1/46080 binary64)) (.f64 K K) (*.f64 J #s(literal 1/384 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64))) (.f64 J (.f64 J J)) (.f64 #s(literal 1/56623104 binary64) (.f64 J (.f64 J J)))) (fma.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (-.f64 (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 J #s(literal 1/384 binary64))) (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (*.f64 J #s(literal 1/384 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J))) (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 J #s(literal 1/384 binary64)))) (-.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 J #s(literal 1/384 binary64))))
(/.f64 (.f64 J (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (.f64 J (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) J) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) J) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64))) (.f64 J (.f64 J J)) (.f64 #s(literal 1/56623104 binary64) (.f64 J (.f64 J J))))) (neg.f64 (fma.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (-.f64 (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 J #s(literal 1/384 binary64))) (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (*.f64 J #s(literal 1/384 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J))) (.f64 (.f64 J #s(literal 1/384 binary64)) (.f64 J #s(literal 1/384 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (.f64 J #s(literal 1/384 binary64)))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)))) (neg.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) J)) (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) J)) (neg.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(.f64 (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) J)

eval470.0ms (3.5%)

Memory: -203.5MiB live, 356.3MiB allocated
Compiler: Compiled 37 443 to 1 714 computations (95.4% saved)

prune195.0ms (1.4%)

Memory

27.5MiB live, 386.5MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 120	21	1 141
Fresh	11	7	18
Picked	3	2	5
Done	0	1	1
Total	1 134	31	1 165

Accuracy

100.0%

Counts

1 165 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	73.1%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	82.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	79.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	69.7%	(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	90.7%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	92.2%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	67.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
✓	67.1%	#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 l #s(literal 2 binary64))) J U))
	49.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
	53.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
	39.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	61.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	33.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
	61.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
	56.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
	52.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	27.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	58.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
▶	14.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
▶	38.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
	38.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
▶	63.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
	64.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
	53.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
▶	18.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	65.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
	45.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))

Compiler

Compiled 1 438 to 838 computations (41.7% saved)

simplify260.0ms (1.9%)

Memory

14.5MiB live, 287.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l))))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
cost-diff	128	(-.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
cost-diff	320	(fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
cost-diff	256	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))
cost-diff	0	#s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
cost-diff	1024	(fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U)
cost-diff	0	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)))
cost-diff	0	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J)
cost-diff	0	(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)

Rules

7 384×	`lower-fma.f32`
7 366×	`lower-fma.f64`
5 968×	`lower-*.f32`
5 932×	`lower-*.f64`
2 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	807
0	115	770
1	225	770
2	531	770
3	1311	762
4	2391	754
5	4250	754
0	8902	712

Stop Event

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

Calls

Call 1

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

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

localize309.0ms (2.3%)

Memory

-5.1MiB live, 454.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.706589619279216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l))))))
accuracy	16.98849610723981	(fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (*.f64 U U)))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
accuracy	42.725278216242835	(/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))
accuracy	3.8053430128577075	(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))
accuracy	11.706589619279216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U))))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
accuracy	33.56173910604465	(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))
accuracy	4.964298384406554	(fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U)
accuracy	6.50688499625857	(/.f64 (*.f64 J l) U)
accuracy	11.706589619279216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U)))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
accuracy	0	(.f64 J (.f64 l #s(literal 2 binary64)))
accuracy	11.706589619279216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
accuracy	21.048735765864947	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
accuracy	34.01858164660766	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
accuracy	0.07421875	(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy	0.078125	(fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	0.15234375	(.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	4.355430357614058	#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))

Samples

127.0ms	202×	0	valid
90.0ms	54×	1	valid

Compiler

Compiled 496 to 69 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 70.0ms (39.1% of total)

ival-add: 44.0ms (24.5% of total)

ival-cos: 19.0ms (10.6% of total)

const: 13.0ms (7.3% of total)

ival-exp: 12.0ms (6.7% of total)

ival-div: 7.0ms (3.9% of total)

adjust: 6.0ms (3.3% of total)

ival-sub: 3.0ms (1.7% of total)

ival-neg: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

ival-sinh: 1.0ms (0.6% of total)

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

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

series148.0ms (1.1%)

Memory

-4.3MiB live, 230.7MiB allocated

Counts

27 → 936

Calls

Call 1

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

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

Calls

234 calls:

Time	Variable		Point	Expression
54.0ms	l	@	-inf	(/ (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (+ (* J (* l 2)) (neg U)))
6.0ms	l	@	inf	(/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))))
1.0ms	U	@	0	(/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))))
1.0ms	U	@	0	(/ (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (+ (* J (* l 2)) (neg U)))
1.0ms	J	@	0	(/ (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (+ (* J (* l 2)) (neg U)))

simplify225.0ms (1.7%)

Memory

30.3MiB live, 379.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 626×	`lower-fma.f64`
7 626×	`lower-fma.f32`
5 860×	`lower-*.f64`
5 860×	`lower-*.f32`
2 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	11695
1	2031	11582
2	7116	11516
0	8392	10845

Stop Event

1×	iter limit
1×	node limit

Counts

936 → 875

Calls

Call 1

Inputs
(+ 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 (* (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) (/ 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
(+ 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 (* 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) (/ 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
(+ 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) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* 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
(* 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
(* -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)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
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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))))))))
(* 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))))
(* 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))))
(* 1/6 (pow l 2))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (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))))))
(* 1/5040 (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))))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(* 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 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)))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
(/ (* J l) U)
U
(+ U (* 2 (* J l)))
(+ U (* J (- (* -1 (* J (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(+ U (* J (- (* J (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) U)) (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l))) (pow J 2))) (* 2 l)) (* -1 (/ U J))))
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* (pow J 3) l))) (* 2 l)) (+ (* -1 (/ U J)) (+ (* -1/2 (/ (pow U 2) (* (pow J 2) l))) (* 1/2 (/ (pow U 2) (* (pow J 2) l)))))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* J l))) (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) J)) (* -1 U)) J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (- (* -1 (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(+ U (* l (- (* l (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) U)) (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J))) (pow l 2))) (* 2 J)) (* -1 (/ U l))))
(* l (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J (pow l 3)))) (* 2 J)) (+ (* -1 (/ U l)) (+ (* -1/2 (/ (pow U 2) (* J (pow l 2)))) (* 1/2 (/ (pow U 2) (* J (pow l 2))))))))
(* 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)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
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 (- (* -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)))
(pow U 3)
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(* 8 (* (pow J 3) (pow l 3)))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* 8 (* (pow J 3) (pow l 3)))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(pow U 3)
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(* 8 (* (pow J 3) (pow l 3)))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* 8 (* (pow J 3) (pow l 3)))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(* 8 (* (pow J 3) (pow l 3)))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(pow U 3)
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(pow U 3)
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))

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

rewrite368.0ms (2.7%)

Memory

-8.2MiB live, 591.5MiB allocated

Rules

5 714×	`lower-fma.f32`
5 696×	`lower-fma.f64`
5 542×	`lower-*.f32`
5 506×	`lower-*.f64`
4 916×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	653
0	115	571
1	411	498
2	3065	498
0	9659	467

Stop Event

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

Counts

27 → 850

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 J #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 J #s(literal 2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 J #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) J) #s(literal 2 binary64)) U)
(fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) (*.f64 J #s(literal 2 binary64)) U)
(fma.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) J)) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) J)) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)) J) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l)))) J U)
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(.f64 (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) l) (.f64 l (.f64 l #s(literal 8 binary64))))) (fma.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))) (.f64 (.f64 (.f64 l J) (.f64 l (.f64 l (.f64 J J)))) (.f64 (.f64 (.f64 l J) (.f64 l (.f64 l (.f64 J J)))) #s(literal 64 binary64))))) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) l) (.f64 l (.f64 l #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) l) (.f64 l (.f64 l #s(literal 8 binary64))))))))
(.f64 (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) l) (.f64 l (.f64 l #s(literal 8 binary64))))) (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 512 binary64)) (.f64 (.f64 J (.f64 J J)) (.f64 J (.f64 J J)))) (.f64 (.f64 U (.f64 U U)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))))) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) l) (.f64 l (.f64 l #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (.f64 U U)) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l J) (.f64 l (.f64 l (.f64 J J)))) #s(literal -8 binary64))) (.f64 (.f64 (.f64 l J) (.f64 l (.f64 l (.f64 J J)))) (.f64 (.f64 (.f64 l J) (.f64 l (.f64 l (*.f64 J J)))) #s(literal 64 binary64)))))))

eval308.0ms (2.3%)

Memory: -1.4MiB live, 464.2MiB allocated
Compiler: Compiled 61 923 to 2 880 computations (95.3% saved)

prune436.0ms (3.2%)

Memory

-8.2MiB live, 584.4MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 744	11	1 755
Fresh	4	19	23
Picked	3	2	5
Done	1	2	3
Total	1 752	34	1 786

Accuracy

100.0%

Counts

1 786 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	73.1%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	82.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	79.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	69.7%	(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	90.7%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	92.2%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	67.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
	49.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
	53.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
	39.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	61.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
	61.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
	56.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
	52.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	27.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	58.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	3.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
	15.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
	21.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
	27.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
	63.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
	31.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
	53.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
	58.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
	53.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
	64.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
✓	18.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	65.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
	73.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
	45.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))

Compiler

Compiled 2 180 to 739 computations (66.1% saved)

regimes270.0ms (2%)

Memory

-3.3MiB live, 316.5MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Calls

10 calls:

46.0ms	J
35.0ms	U
34.0ms	(/.f64 K #s(literal 2 binary64))
33.0ms	l
29.0ms	K

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)

regimes260.0ms (1.9%)

Memory

0.9MiB live, 283.0MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

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

Calls

10 calls:

41.0ms	U
33.0ms	(/.f64 K #s(literal 2 binary64))
32.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
32.0ms	J
26.0ms	(+.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
99.9%	1	`J`
99.9%	1	`l`
99.9%	1	`K`
99.9%	1	`U`
99.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
99.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
99.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
99.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
99.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes293.0ms (2.2%)

Memory

20.9MiB live, 288.5MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) J) #s(literal 2 binary64) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Outputs

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

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

Calls

10 calls:

48.0ms	K
41.0ms	U
37.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
33.0ms	(/.f64 K #s(literal 2 binary64))
30.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.9%	1	`J`
94.9%	1	`l`
97.1%	2	`K`
94.9%	1	`U`
94.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
94.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes214.0ms (1.6%)

Memory

-26.4MiB live, 268.8MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

10 calls:

38.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
29.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
24.0ms	K
22.0ms	(/.f64 K #s(literal 2 binary64))
21.0ms	l

Results

Accuracy	Segments	Branch
97.0%	3	`l`
92.9%	1	`U`
92.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
92.9%	1	`J`
92.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.9%	2	`K`
95.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes104.0ms (0.8%)

Memory

-7.9MiB live, 108.1MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)

Outputs

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

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

Calls

4 calls:

43.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
24.0ms	K
16.0ms	l
16.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.2%	3	`l`
95.2%	2	`K`
95.2%	2	`(/.f64 K #s(literal 2 binary64))`
95.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes149.0ms (1.1%)

Memory

17.5MiB live, 290.8MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

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

Calls

9 calls:

18.0ms	(/.f64 K #s(literal 2 binary64))
18.0ms	K
17.0ms	U
16.0ms	J
16.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
87.3%	1	`J`
87.3%	1	`U`
87.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.4%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
89.4%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
90.1%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
92.6%	2	`K`
92.6%	2	`(/.f64 K #s(literal 2 binary64))`
96.0%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 88 to 69 computations (21.6% saved)

regimes36.0ms (0.3%)

Memory

-1.4MiB live, 36.6MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

#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 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U))

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

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

Calls

1 calls:

32.0ms

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

Results

Accuracy	Segments	Branch
95.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes47.0ms (0.3%)

Memory

-30.6MiB live, 33.6MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))

Outputs

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

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
95.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes73.0ms (0.5%)

Memory

21.9MiB live, 99.1MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))

Outputs

#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 #s(literal 2 binary64))) l U))

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

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

Calls

4 calls:

26.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	K
14.0ms	l
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
84.4%	2	`K`
84.4%	2	`(/.f64 K #s(literal 2 binary64))`
95.3%	5	`l`
92.9%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes33.0ms (0.2%)

Memory

-3.2MiB live, 76.3MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) l 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 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)

Outputs

#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 #s(literal 2 binary64))) l U))

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

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

Calls

2 calls:

16.0ms	l
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
90.2%	4	`l`
92.2%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes17.0ms (0.1%)

Memory

3.4MiB live, 41.2MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
92.2%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes93.0ms (0.7%)

Memory

-4.8MiB live, 227.4MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
82.2%	1	`U`
82.2%	1	`J`
82.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
82.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
82.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
82.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
88.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 76 to 59 computations (22.4% saved)

regimes28.0ms (0.2%)

Memory

-5.2MiB live, 77.8MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l)))) (.f64 J (fma.f64 J (.f64 (.f64 l l) #s(literal 4 binary64)) (.f64 U (*.f64 l #s(literal -2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 (.f64 l (.f64 l l)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 (.f64 l (.f64 K K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 l (.f64 l (.f64 J J))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (/.f64 (.f64 l l) (.f64 U U))) (fma.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal -4 binary64) (*.f64 U U))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (fma.f64 K (.f64 K (.f64 (.f64 K K) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(approx ( J (+ (* (* K K) -1/46080) 1/384)) (.f64 K (.f64 K (.f64 J (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K)))))))))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)))) U))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.7%	2	`l`
85.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes11.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (.f64 (/.f64 l U) J)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) J) (/.f64 l U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* J (* J J)) (* (* l (* l l)) 8)) (* U (* U U))) (+ (* U (- U (* J (* l 2)))) (* 4 (* (* J l) (* J l))))) (fma.f64 (.f64 (.f64 J l) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 U (neg.f64 U))) (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) U) (*.f64 l J)) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 (.f64 l l) (.f64 J (.f64 J #s(literal 4 binary64))))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (fma.f64 J (*.f64 l #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) #s(approx (+ (* K (* K (* (* K K) (* (+ (* l (* l 1/3)) 2) (* J (+ (* (* K K) -1/46080) 1/384)))))) (* (+ (* l (* l 1/3)) 2) (+ (* K (* K (* J -1/8))) J))) (.f64 (fma.f64 K (.f64 K (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))) J) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (*.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64))) J)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
84.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes130.0ms (1%)

Memory

-9.3MiB live, 150.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

45.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
24.0ms	K
9.0ms	l
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms	U

Results

Accuracy	Segments	Branch
80.3%	3	`l`
73.2%	1	`J`
73.2%	1	`U`
80.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
77.8%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
77.8%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
75.4%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.2%	1	`K`
73.2%	1	`(/.f64 K #s(literal 2 binary64))`
78.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes16.0ms (0.1%)

Memory

-2.0MiB live, 36.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
77.8%	2	`l`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes32.0ms (0.2%)

Memory

-11.7MiB live, 66.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

10.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms	l
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
73.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.2%	1	`l`
73.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
77.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 59 to 46 computations (22% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
76.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
76.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes29.0ms (0.2%)

Memory

-6.4MiB live, 67.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

5.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
5.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	U
2.0ms	K
2.0ms	J

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes20.0ms (0.1%)

Memory

28.8MiB live, 63.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

5.0ms	l
2.0ms	U
2.0ms	(/.f64 K #s(literal 2 binary64))
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	J

Results

Accuracy	Segments	Branch
58.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
58.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
58.4%	1	`U`
58.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
58.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
58.4%	1	`l`
58.4%	1	`K`
58.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.4%	1	`(/.f64 K #s(literal 2 binary64))`
58.4%	1	`J`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes20.0ms (0.2%)

Memory

-4.5MiB live, 36.7MiB 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

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

Calls

10 calls:

8.0ms	K
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	U
1.0ms	J
1.0ms	l

Results

Accuracy	Segments	Branch
18.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
18.3%	1	`U`
18.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
18.3%	1	`J`
18.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
18.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
18.3%	1	`l`
18.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
18.3%	1	`K`
18.3%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	17621.27135571818	31339.815871166895

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.968510930524974	0.9856807748207471

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.968510930524974	0.9856807748207471

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.17204944468689584	-0.16787024674286644

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.17204944468689584	-0.16787024674286644

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.17204944468689584	-0.16787024674286644

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.43169058980433694	-0.40489563328420464

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch3.0ms (0%)

Memory

-34.9MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.43169058980433694	-0.40489563328420464

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154
0.0ms	-0.43169058980433694	-0.40489563328420464

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014110169262832779	0.054598060232761154

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch41.0ms (0.3%)

Memory

4.6MiB live, 79.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7716619613691496e+51	1.4156580840216178e+53
21.0ms	-3.6076157819519087e-6	-2.7072308540351854e-9

Samples

26.0ms

240×

valid

Compiler

Compiled 707 to 428 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26% of total)

ival-cos: 5.0ms (26% of total)

ival-exp: 4.0ms (20.8% of total)

ival-div: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

ival-sub: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% 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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.054598060232761154	0.05660906171967484

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	0.054598060232761154	0.05660906171967484

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	0.054598060232761154	0.05660906171967484

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.054598060232761154	0.05660906171967484

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify13.0ms (0.1%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1556
1	234	1556

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) #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 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #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 #s(literal 2 binary64))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #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 #s(literal 2 binary64))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx (* J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx (* J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 l #s(literal -1851167661284901/18889465931478580854784 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)) (if (<=.f64 l #s(literal 1800000000000000054259107403096724002821428209516544 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (.f64 #s(literal 2 binary64) (/.f64 (.f64 J l) U)) U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l (.f64 l l)) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U)))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l #s(approx (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)))
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#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* l (* (* J (cos (* 1/2 K))) (+ (* l (* l 1/3)) 2))) U) (fma.f64 (.f64 J l) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

soundness1.9s (14.3%)

Memory

-6.2MiB live, 1 519.1MiB allocated

Rules

21 568×	`lower-fma.f64`
21 568×	`lower-fma.f32`
15 664×	`lower-fma.f64`
15 664×	`lower-fma.f32`
12 956×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1686
1	422	1686
2	1391	1576
3	3444	1576
0	8364	1502
0	423	10509
1	1446	10245
2	4946	9663
0	8203	9105
0	466	12348
1	1600	12102
2	5880	11030
0	8198	10265
0	52	361
0	89	343
1	311	341
2	2077	341
0	8847	339
0	14	42
0	23	34
1	72	34
2	433	34
0	4485	33

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

Compiler

Compiled 2 209 to 1 056 computations (52.2% saved)

preprocess232.0ms (1.7%)

Memory: -15.1MiB live, 219.9MiB allocated
Remove: (abs K)
Compiler: Compiled 1 938 to 332 computations (82.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (13%)

explain235.0ms (1.7%)

preprocess97.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (0.5%)

localize92.0ms (0.7%)

series20.0ms (0.2%)

simplify360.0ms (2.7%)

rewrite285.0ms (2.1%)

eval94.0ms (0.7%)

prune225.0ms (1.7%)

simplify243.0ms (1.8%)

localize371.0ms (2.7%)

series134.0ms (1%)

simplify390.0ms (2.9%)

rewrite376.0ms (2.8%)

eval247.0ms (1.8%)

prune262.0ms (1.9%)

simplify341.0ms (2.5%)

localize340.0ms (2.5%)

series127.0ms (0.9%)

simplify306.0ms (2.3%)

rewrite298.0ms (2.2%)

eval470.0ms (3.5%)

prune195.0ms (1.4%)

simplify260.0ms (1.9%)

localize309.0ms (2.3%)

series148.0ms (1.1%)

simplify225.0ms (1.7%)

rewrite368.0ms (2.7%)

eval308.0ms (2.3%)

prune436.0ms (3.2%)

regimes270.0ms (2%)

regimes260.0ms (1.9%)

regimes293.0ms (2.2%)

regimes214.0ms (1.6%)

regimes104.0ms (0.8%)

regimes149.0ms (1.1%)

regimes36.0ms (0.3%)

regimes47.0ms (0.3%)

regimes73.0ms (0.5%)

regimes33.0ms (0.2%)

regimes17.0ms (0.1%)

regimes93.0ms (0.7%)

regimes28.0ms (0.2%)

regimes11.0ms (0.1%)

regimes130.0ms (1%)

regimes16.0ms (0.1%)

regimes32.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes29.0ms (0.2%)

regimes20.0ms (0.1%)

regimes20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.9s (14.3%)

preprocess232.0ms (1.7%)

end0.0ms (0%)

Profiling