Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.7s (13.4%)

Memory

31.2MiB live, 3 141.0MiB allocated

Samples

690.0ms	1 860×	1	valid
668.0ms	6 396×	0	valid

Precisions

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

ival-exp: 435.0ms (39.4% of total)

ival-cos: 258.0ms (23.4% of total)

ival-mult: 142.0ms (12.9% of total)

ival-div: 78.0ms (7.1% of total)

ival-sub: 52.0ms (4.7% of total)

ival-add: 46.0ms (4.2% of total)

adjust: 45.0ms (4.1% of total)

ival-neg: 34.0ms (3.1% of total)

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

exact: 5.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain235.0ms (1.8%)

Memory

23.7MiB live, 389.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
119	0	-	1	(-3.225425170429123e-30 0.011606884197588862 734475944010.2574 -1.280546046380206e+82)	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	0	-	`K`
0	0	-	0	-	`(neg.f64 l)`
0	0	-	0	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	142	(-2.3998510829377547e+185 7.929888165562155e+183 3.692879181206645e+197 1.4166248305236848e-259)	0	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	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	-	0	-	`J`
0	0	-	0	-	`U`
0	0	-	0	-	`(exp.f64 (neg.f64 l))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 l)`
0	0	-	0	-	`l`
0	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	142	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	36	0

Confusion

	Predicted +	Predicted -
+	35	0
-	125	96

Precision

0.21875

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	125	0	96

Precision?

0.21875

Recall?

1.0

Freqs

test

number	freq
0	96
1	142
2	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	158×	1	valid
37.0ms	72×	2	valid
33.0ms	282×	0	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: 16.0ms (17.6% of total)

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

adjust: 7.0ms (7.7% of total)

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

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

ival-div: 3.0ms (3.3% 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)

preprocess96.0ms (0.7%)

Memory

-27.0MiB live, 89.1MiB 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)

eval2.0ms (0%)

Memory: 2.3MiB live, 2.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(+.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)

simplify66.0ms (0.5%)

Memory

25.4MiB live, 65.7MiB 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

localize84.0ms (0.7%)

Memory

-14.6MiB live, 96.5MiB 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	0.05859375	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	27.43166144134996	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

29.0ms	79×	1	valid
23.0ms	36×	2	valid
15.0ms	141×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-exp: 31.0ms (58.4% of total)

ival-cos: 8.0ms (15.1% of total)

ival-mult: 5.0ms (9.4% of total)

adjust: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

ival-div: 2.0ms (3.8% of total)

ival-add: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

24.3MiB live, 24.2MiB 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	K	@	0	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
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	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)

simplify421.0ms (3.3%)

Memory

-6.7MiB live, 390.3MiB 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)))

rewrite286.0ms (2.2%)

Memory

1.6MiB live, 197.3MiB 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))))

eval115.0ms (0.9%)

Memory: -28.2MiB live, 96.8MiB allocated
Compiler: Compiled 11 089 to 1 112 computations (90% saved)

prune64.0ms (0.5%)

Memory

4.1MiB live, 81.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	368	10	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	10	379

Accuracy

100.0%

Counts

379 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
▶	90.5%	(+.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)
▶	92.8%	(+.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)
	84.6%	(+.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)
	91.0%	(+.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)
	86.9%	(+.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)
▶	80.2%	(+.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)
▶	59.4%	#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))
	80.2%	#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))
	76.1%	#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 470 to 294 computations (37.4% saved)

simplify324.0ms (2.5%)

Memory

10.2MiB live, 163.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 034×	`lower-fma.f32`
8 018×	`lower-fma.f64`
4 432×	`lower-*.f32`
4 396×	`lower-*.f64`
1 704×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	548
0	98	548
1	206	548
2	467	548
3	920	524
4	1631	524
5	3294	524
0	8638	520

Stop Event

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

Calls

Call 1

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

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

localize567.0ms (4.4%)

Memory

6.3MiB live, 358.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(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))
accuracy	0.0859375	(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy	0.4945033979303455	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	5.493229840495896	#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))))
accuracy	0.05078125	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.05859375	(.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))))
accuracy	0.1015625	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	6.7525352152196705	#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))))
accuracy	0.2806894079014356	(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.34375	(*.f64 l #s(literal 1/3 binary64))
accuracy	4.016320009554741	(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy	13.329736267288634	#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)))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.06640625	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
accuracy	25.951218734432032	#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	(sinh.f64 l)
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
accuracy	0.0390625	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

Samples

186.0ms	79×	1	valid
128.0ms	141×	0	valid
50.0ms	36×	2	valid

Compiler

Compiled 393 to 52 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 75.0ms (29.1% of total)

ival-exp: 65.0ms (25.3% of total)

ival-mult: 46.0ms (17.9% of total)

const: 21.0ms (8.2% of total)

ival-cos: 19.0ms (7.4% of total)

ival-add: 14.0ms (5.4% of total)

adjust: 12.0ms (4.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.7%)

Memory

-4.3MiB live, 148.1MiB allocated

Counts

28 → 696

Calls

Call 1

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

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

Calls

174 calls:

Time	Variable		Point	Expression
9.0ms	l	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
5.0ms	l	@	0	(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
4.0ms	K	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
3.0ms	J	@	inf	(* l (* J (+ (* l (* l 1/3)) 2)))
2.0ms	l	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)

simplify296.0ms (2.3%)

Memory

9.9MiB live, 481.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 776×	`lower-fma.f64`
15 776×	`lower-fma.f32`
6 162×	`lower-*.f64`
6 162×	`lower-*.f32`
3 784×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	8870
1	1100	8786
2	3247	8330
3	6926	8318
0	8435	7842

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 671

Calls

Call 1

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

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

rewrite375.0ms (2.9%)

Memory

15.9MiB live, 528.9MiB allocated

Rules

6 720×	`lower-fma.f32`
6 704×	`lower-fma.f64`
4 712×	`lower-*.f32`
4 676×	`lower-*.f64`
3 278×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	424
0	98	399
1	371	399
2	2442	399
0	8891	396

Stop Event

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

Counts

28 → 500

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
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(sinh.f64 l)
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(fma.f64 (.f64 l J) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
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(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l J)) #s(literal 2 binary64) U)
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(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #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) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 l l) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 l (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)) (fma.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 l l) (.f64 (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 l (.f64 (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))

eval229.0ms (1.8%)

Memory: 12.9MiB live, 439.4MiB allocated
Compiler: Compiled 35 095 to 2 632 computations (92.5% saved)

prune142.0ms (1.1%)

Memory

-59.2MiB live, 343.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 161	10	1 171
Fresh	5	0	5
Picked	5	0	5
Done	0	0	0
Total	1 171	10	1 181

Accuracy

100.0%

Counts

1 181 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
▶	83.2%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	59.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
▶	59.4%	#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))
	39.1%	#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 K (.f64 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))
▶	47.3%	#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) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	43.8%	#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)))
▶	33.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
▶	50.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
	26.2%	#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 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 396 to 244 computations (38.4% saved)

simplify237.0ms (1.9%)

Memory

43.8MiB live, 423.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)))) l)
cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
cost-diff	0	#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))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
cost-diff	640	(fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64))))
cost-diff	640	(fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))
cost-diff	0	(fma.f64 (.f64 K 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 (.f64 K 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 (.f64 K 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 (.f64 K 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 J l)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 #s(literal 2 binary64) (*.f64 J l) U)))
cost-diff	0	(sinh.f64 l)
cost-diff	0	(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Rules

13 554×	`lower-fma.f32`
13 534×	`lower-fma.f64`
5 416×	`lower-*.f32`
5 390×	`lower-*.f64`
3 350×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	509
0	96	505
1	197	505
2	507	490
3	1529	482
4	2941	476
5	5611	476
0	8802	461

Stop Event

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

Calls

Call 1

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

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

localize333.0ms (2.6%)

Memory

-16.0MiB live, 465.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
accuracy	0.1171875	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l)
accuracy	0.1328125	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	25.951218734432032	#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))
accuracy	6.060508774659695	(.f64 l (.f64 J (*.f64 K K)))
accuracy	9.33720570210068	(.f64 J (.f64 K K))
accuracy	25.951218734432032	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
accuracy	30.77220175634216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U)))
accuracy	0.06640625	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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	25.951218734432032	#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) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
accuracy	35.439092391140285	#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
accuracy	0	(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
accuracy	0	(*.f64 J l)
accuracy	13.673038670699533	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
accuracy	25.951218734432032	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
accuracy	0	(sinh.f64 l)
accuracy	0.0078125	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
accuracy	0.0390625	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
accuracy	32.2921991726341	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

118.0ms	53×	1	valid
107.0ms	203×	0	valid

Compiler

Compiled 363 to 59 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 40.0ms (25.4% of total)

ival-exp: 38.0ms (24.2% of total)

ival-add: 30.0ms (19.1% of total)

ival-cos: 25.0ms (15.9% of total)

const: 13.0ms (8.3% of total)

adjust: 5.0ms (3.2% of total)

ival-sinh: 2.0ms (1.3% of total)

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

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

exact: 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)

series84.0ms (0.7%)

Memory

-12.5MiB live, 142.3MiB allocated

Counts

24 → 792

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (patch (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sinh.f64 l)) (patch (.f64 #s(literal 2 binary64) (sinh.f64 l)) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) 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 #s(literal 2 binary64) (*.f64 J l) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) U)) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (patch (fma.f64 #s(literal 2 binary64) (.f64 J l) U) #<representation binary64>) () ())
#s(alt (.f64 J l) (patch (.f64 J l) #<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 (.f64 K 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 (.f64 K 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 (.f64 K 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 (.f64 K 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 (.f64 K 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 (.f64 K 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 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 K 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U)) (patch (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) (patch (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) (patch (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (patch #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.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 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())

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

Calls

198 calls:

Time	Variable		Point	Expression
5.0ms	J	@	0	(+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U))
1.0ms	l	@	inf	(+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U))
1.0ms	l	@	0	(+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U))
1.0ms	J	@	-inf	(+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U))
1.0ms	J	@	0	(+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))

simplify331.0ms (2.6%)

Memory

-11.4MiB live, 397.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 874×	`lower-fma.f64`
12 874×	`lower-fma.f32`
7 514×	`lower-*.f64`
7 514×	`lower-*.f32`
4 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	10679
1	1393	10545
2	4514	10377
0	8137	9672

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 746

Calls

Call 1

Inputs
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 (* 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 (* 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)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
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(* 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))
-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)))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))
(* J (* (pow K 2) l))

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

rewrite413.0ms (3.2%)

Memory

30.0MiB live, 580.5MiB allocated

Rules

7 872×	`lower-fma.f32`
7 852×	`lower-fma.f64`
5 564×	`lower-*.f32`
5 538×	`lower-*.f64`
3 322×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	407
0	96	395
1	361	395
2	2575	395
0	9221	391

Stop Event

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

Counts

24 → 523

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))))
(+.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))))) (/.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sinh.f64 l) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J) U)
(fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) U)
(fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) J U)
(fma.f64 J (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 (sinh.f64 l) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) U)
(fma.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (/.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J) (cosh.f64 l)) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (*.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (*.f64 U U)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J) U))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64))) (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64)) (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U))) (.f64 (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U)) (fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J)) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) J))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))) (pow.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))))
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(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 l J)) U)
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(fma.f64 (.f64 (.f64 l J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 l J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 l (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) l U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 l J) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) l U)
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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)))))) (neg.f64 (.f64 U U))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 l J)) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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))))))))) (neg.f64 (-.f64 U (.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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 U (.f64 U U) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l J)) (neg.f64 U)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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)))))) (neg.f64 (*.f64 U U)))) #s(literal -1 binary64))
(.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (+.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)))))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l J)) (neg.f64 U))))
(.f64 l (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 J (.f64 l (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 l J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l J))
(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l)
(.f64 (.f64 l (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
(+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))
(+.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (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 -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))) (/.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))
(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 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K #s(literal 1/384 binary64)) K #s(literal -1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64)) (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64)))))
(/.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 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64)) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #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 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64))) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)) (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 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #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 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64)))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (.f64 K K) #s(literal -1/3072 binary64))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #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 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal 1/56623104 binary64)) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/147456 binary64) #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 K (.f64 K J))
(.f64 J (.f64 K K))
(.f64 (.f64 K K) J)
(.f64 (.f64 K J) K)
(.f64 l (.f64 K (*.f64 K J)))
(.f64 J (.f64 l (*.f64 K K)))
(.f64 J (.f64 (*.f64 K K) l))
(.f64 (.f64 l J) (*.f64 K K))
(.f64 (.f64 K K) (*.f64 l J))
(.f64 (.f64 K (*.f64 K J)) l)
(.f64 (.f64 K J) (*.f64 K l))
(.f64 (.f64 l (*.f64 K K)) J)
(.f64 (.f64 l (*.f64 K J)) K)
(.f64 (.f64 (*.f64 l J) K) K)

eval187.0ms (1.5%)

Memory: 38.9MiB live, 412.3MiB allocated
Compiler: Compiled 51 276 to 2 098 computations (95.9% saved)

prune259.0ms (2%)

Memory

-34.2MiB live, 457.2MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 276	19	1 295
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	1 280	25	1 305

Accuracy

100.0%

Counts

1 305 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
✓	83.2%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
▶	76.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	75.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
▶	69.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	59.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
✓	59.4%	#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))
	43.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
	44.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
	39.1%	#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))
	39.1%	#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 K (.f64 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))
	36.8%	#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))
	25.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	43.8%	#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)))
	33.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 binary64)))) U))))
✓	50.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
▶	17.7%	#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
	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 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
	42.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
	11.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
▶	22.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))))
	55.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) U) U))))
▶	18.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))
	47.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
	55.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))

Compiler

Compiled 1 108 to 618 computations (44.2% saved)

simplify283.0ms (2.2%)

Memory

24.9MiB live, 386.8MiB 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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
cost-diff	128	(-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J)))
cost-diff	320	(fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))
cost-diff	0	#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))))
cost-diff	320	(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))
cost-diff	0	(.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
cost-diff	0	(.f64 l (.f64 #s(literal 2 binary64) J))
cost-diff	0	#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))
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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))
cost-diff	0	(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Rules

15 306×	`lower-fma.f32`
15 284×	`lower-fma.f64`
5 656×	`lower-*.f32`
5 608×	`lower-*.f64`
3 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	908
0	146	873
1	333	873
2	880	841
3	2682	831
4	4645	831
5	5657	831
6	6389	831
0	8104	799

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(*.f64 l #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))
(.f64 l (.f64 #s(literal 2 binary64) J))
l
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
#s(approx (* 2 (sinh 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)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))))
#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))
(.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))
l
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))
#s(literal 2 binary64)
J
(.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))
(*.f64 K K)
K
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))
(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))
(.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))
#s(literal -1/23040 binary64)
#s(literal 1/192 binary64)
#s(literal -1/4 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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
(/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))
(fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (*.f64 U U)))
(.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64))
(.f64 J (.f64 J J))
J
(*.f64 J J)
#s(literal 8 binary64)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 U (.f64 U U))
U
(*.f64 U U)
(fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))
(-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J)))
(.f64 #s(literal 2 binary64) (.f64 l J))
#s(literal 2 binary64)
(*.f64 l J)
(.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))
#s(literal 4 binary64)
(.f64 (.f64 l J) (*.f64 l J))

Outputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 #s(approx (* 2 (sinh 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)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J) U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
(.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (sinh 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))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.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)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(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))
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(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))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 l #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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 (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 l J)))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 l J))))
#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))
#s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 l J)))
(.f64 l (.f64 #s(literal 2 binary64) J))
(.f64 #s(literal 2 binary64) (.f64 l J))
l
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J) U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
(.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
#s(approx (* 2 (sinh 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)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 l J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 l J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))
#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 l J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))
(.f64 (.f64 l J) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
l
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
J
(.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))
(.f64 K (.f64 K (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)))))
(*.f64 K K)
K
(.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))
(.f64 J (fma.f64 (.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)))
(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))
(.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))
(.f64 K (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))
(fma.f64 K (*.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64))
#s(literal -1/23040 binary64)
#s(literal 1/192 binary64)
#s(literal -1/4 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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)))) (fma.f64 (.f64 l J) (fma.f64 #s(literal -2 binary64) U (.f64 l (.f64 J #s(literal 4 binary64)))) (*.f64 U U)))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)))) (fma.f64 (.f64 l J) (fma.f64 #s(literal -2 binary64) U (.f64 l (.f64 J #s(literal 4 binary64)))) (*.f64 U U))))
(/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)))) (fma.f64 (.f64 l J) (fma.f64 #s(literal -2 binary64) U (.f64 l (.f64 J #s(literal 4 binary64)))) (*.f64 U U)))
(fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (*.f64 U U)))
(fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (*.f64 l l))))
(.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64))
(.f64 J (.f64 J J))
J
(*.f64 J J)
#s(literal 8 binary64)
(.f64 l (.f64 l l))
l
(*.f64 l l)
(.f64 U (.f64 U U))
U
(*.f64 U U)
(fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))
(fma.f64 (.f64 l J) (fma.f64 #s(literal -2 binary64) U (.f64 l (.f64 J #s(literal 4 binary64)))) (.f64 U U))
(-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J)))
(fma.f64 l (*.f64 J #s(literal -2 binary64)) U)
(.f64 #s(literal 2 binary64) (.f64 l J))
#s(literal 2 binary64)
(*.f64 l J)
(.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))
(.f64 l (.f64 J (.f64 l (.f64 J #s(literal 4 binary64)))))
#s(literal 4 binary64)
(.f64 (.f64 l J) (*.f64 l J))
(.f64 J (.f64 l (*.f64 l J)))

localize385.0ms (3%)

Memory

21.2MiB live, 480.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	13.673038670699533	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
accuracy	19.83159688470972	(fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (*.f64 U U)))
accuracy	25.951218734432032	#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
accuracy	37.954590527144546	(/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))
accuracy	3.896443460525028	(.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))
accuracy	15.126143010499808	#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))
accuracy	25.951218734432032	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))))
accuracy	30.77220175634216	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))))
accuracy	0.07421875	(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.34375	(*.f64 l #s(literal 1/3 binary64))
accuracy	11.584674363799984	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	32.292199172634085	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
accuracy	0.2338144079014356	(.f64 l (.f64 #s(literal 2 binary64) J))
accuracy	13.673038670699533	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))
accuracy	25.951218734432032	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))
accuracy	31.29223280076301	#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))
accuracy	0.05078125	(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy	0.078125	(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
accuracy	5.493229840495896	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	32.292199172634085	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

178.0ms	203×	0	valid
73.0ms	53×	1	valid

Compiler

Compiled 559 to 94 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 115.0ms (54.5% of total)

ival-add: 21.0ms (9.9% of total)

ival-cos: 20.0ms (9.5% of total)

const: 18.0ms (8.5% of total)

ival-exp: 17.0ms (8.1% of total)

adjust: 7.0ms (3.3% of total)

ival-sub: 4.0ms (1.9% of total)

ival-div: 3.0ms (1.4% of total)

ival-sinh: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series125.0ms (1%)

Memory

-31.2MiB live, 169.9MiB allocated

Counts

28 → 840

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (patch (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))) (patch #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 #s(literal 2 binary64) J)) (patch (.f64 l (.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (patch (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))) (patch (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))) (patch #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (patch (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) #<representation binary64>) () ())
#s(alt (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (patch (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) #<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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))))) (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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (patch #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (patch (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<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 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))) (patch (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))) (patch (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (patch (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
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#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 #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))) (taylor 0 K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))) (taylor 0 K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))) (taylor 0 K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor -inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor -inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor -inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor -inf K) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt U (taylor -inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) (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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
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#s(alt (* 8 (* (pow J 3) (pow l 3))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (* 8 (* (pow J 3) (pow l 3))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (pow U 3) (taylor 0 l) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (* 8 (* (pow J 3) (pow l 3))) (taylor inf l) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (* 8 (* (pow J 3) (pow l 3))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (* 8 (* (pow J 3) (pow l 3))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (pow U 3) (taylor inf U) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())
#s(alt (pow U 3) (taylor -inf U) (#s(alt (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (patch (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #<representation binary64>) () ())) ())

Calls

210 calls:

Time	Variable		Point	Expression
27.0ms	U	@	0	(/ (+ (* (* (* J (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
1.0ms	J	@	0	(+ (* 2 J) (* (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))))
1.0ms	J	@	inf	(+ (* 2 J) (* (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))))
1.0ms	J	@	0	(+ (* (* (* J (* J J)) 8) (* l (* l l))) (* U (* U U)))
1.0ms	J	@	inf	(/ (+ (* (* (* J (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))

simplify365.0ms (2.8%)

Memory

10.8MiB live, 604.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 960×	`lower-fma.f64`
12 960×	`lower-fma.f32`
6 932×	`lower-*.f64`
6 932×	`lower-*.f32`
3 302×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	12190
1	2370	11773
0	8205	10981

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 792

Calls

Call 1

Inputs
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 (* 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 (* 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)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp 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) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp 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))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (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
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(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* J (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
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
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (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 l (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l l)) (*.f64 J #s(literal 1/3 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 (.f64 l l) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 1/3 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l l)) (.f64 J #s(literal 1/60 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) 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)
(+ 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)
(+ 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 (- (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 (.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.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 (.f64 K K) (fma.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1/8 binary64)) (.f64 (.f64 K K) (fma.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J #s(literal 1/384 binary64)))))) (fma.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)
(+ 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)
(+ 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)
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)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* 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)))
(.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)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 (neg.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))) (neg.f64 J))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 (neg.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))) (neg.f64 J))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 (neg.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))) (neg.f64 J))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.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))))))
(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)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (neg.f64 U)) (neg.f64 U) U)
(* 2 (* l (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(.f64 l (.f64 (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 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(.f64 l (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 l l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(.f64 l (fma.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 (.f64 l l) (.f64 l l)))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(neg.f64 (*.f64 J (fma.f64 l #s(literal -2 binary64) (/.f64 (neg.f64 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)))))
(.f64 (-.f64 (.f64 l #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 U #s(literal 0 binary64)) U)) J)) (neg.f64 J))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* l (- (* -1 (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(fma.f64 l (fma.f64 #s(literal 2 binary64) J (*.f64 l #s(literal 0 binary64))) U)
(+ 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))))
(fma.f64 l (fma.f64 l (fma.f64 #s(literal -2 binary64) (.f64 l (.f64 J #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) J)) U)
(* 2 (* J l))
(.f64 #s(literal 2 binary64) (.f64 J l))
(* l (+ (* 2 J) (/ U l)))
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(* l (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J))) (pow l 2))) (* 2 J)) (* -1 (/ U l))))
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 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))))))))
(*.f64 l (fma.f64 U #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) J (/.f64 U l))))
(* 2 (* J l))
(.f64 #s(literal 2 binary64) (.f64 J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (neg.f64 l) (fma.f64 J #s(literal -2 binary64) (/.f64 U (neg.f64 l))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l)))))
(*.f64 (neg.f64 l) (fma.f64 J #s(literal -2 binary64) (/.f64 U (neg.f64 l))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l)))))
(.f64 (neg.f64 l) (-.f64 (.f64 J #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 U #s(literal 0 binary64)) U)) l)))
(* 2 (* J l))
(.f64 #s(literal 2 binary64) (.f64 J l))
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) 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))))
(fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) 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)))))))
(.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (.f64 l (.f64 J #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 (.f64 l l) (.f64 (.f64 J J) #s(literal -4 binary64))) (*.f64 U U))))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(fma.f64 (/.f64 (.f64 (.f64 J l) #s(literal -2 binary64)) U) (neg.f64 U) U)
(* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))
(fma.f64 (/.f64 (.f64 (.f64 J l) #s(literal -2 binary64)) U) (neg.f64 U) U)
(* -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)))
(fma.f64 (neg.f64 U) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 l (*.f64 J #s(literal 0 binary64))) #s(literal 0 binary64)))) U)) U)
(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 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (.f64 J J)) #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 l l) (.f64 l (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64))))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(.f64 (fma.f64 l (.f64 (.f64 l l) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.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 (fma.f64 l (.f64 (.f64 l l) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.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 (fma.f64 l (.f64 (.f64 l l) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.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 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (.f64 J J)) #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 l l) (.f64 l (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(.f64 (fma.f64 J (.f64 (.f64 J J) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.f64 l (.f64 l l))))) (neg.f64 (.f64 l (*.f64 l l))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(.f64 (fma.f64 J (.f64 (.f64 J J) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.f64 l (.f64 l l))))) (neg.f64 (.f64 l (*.f64 l l))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(.f64 (fma.f64 J (.f64 (.f64 J J) #s(literal -8 binary64)) (/.f64 (.f64 U (.f64 U U)) (neg.f64 (.f64 l (.f64 l l))))) (neg.f64 (.f64 l (*.f64 l l))))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #s(literal 8 binary64)))))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(fma.f64 U (.f64 U U) (.f64 (.f64 l l) (.f64 l (.f64 (.f64 J (*.f64 J J)) #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 l l) (.f64 J (.f64 J (.f64 J l)))) (/.f64 #s(literal 8 binary64) (.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 l l) (.f64 J (.f64 J (.f64 J l)))) (/.f64 #s(literal 8 binary64) (.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 l l) (.f64 J (.f64 J (.f64 J l)))) (/.f64 #s(literal 8 binary64) (.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))))

rewrite390.0ms (3%)

Memory

61.0MiB live, 574.3MiB allocated

Rules

7 132×	`lower-fma.f32`
7 110×	`lower-fma.f64`
6 544×	`lower-*.f32`
6 496×	`lower-*.f64`
2 638×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	729
0	146	666
1	591	621
2	4381	621
0	8911	594

Stop Event

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

Counts

28 → 377

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))
(.f64 l (.f64 #s(literal 2 binary64) J))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
#s(approx (* 2 (sinh 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)))
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))))))
#s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))))
(fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))))
(-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J)))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 l #s(literal 1/3 binary64))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))
(fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (*.f64 U U)))

Outputs
(+.f64 U (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l 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)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))
(+.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l 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)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)) U)
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(fma.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l 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)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J) U)
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(/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) (.f64 (.f64 J (.f64 J J)) (.f64 J (.f64 J J)))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 512 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U)))))) (fma.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))) (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))) (.f64 (.f64 U (.f64 U U)) (.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))))))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))))) (-.f64 (.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l)))) (.f64 U (*.f64 U U))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) (.f64 (.f64 J (.f64 J J)) (.f64 J (.f64 J J)))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 512 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))))))) (neg.f64 (fma.f64 (.f64 U (.f64 U U)) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64))) (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U)))))) (neg.f64 (-.f64 (.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l)))) (.f64 U (*.f64 U U)))))
(/.f64 (-.f64 (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U)))) (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J))))))) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 U (.f64 U U)) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64))) (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J))))))) (fma.f64 (.f64 (.f64 J (.f64 J J)) (.f64 (.f64 J (.f64 J J)) (.f64 J (.f64 J J)))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 512 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l)))) (.f64 U (.f64 U U))) (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))) (.f64 U (.f64 (.f64 U U) (.f64 U (*.f64 U U)))))) #s(literal -1 binary64))
(.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J)))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) (.f64 (.f64 J (.f64 J J)) (.f64 J (.f64 J J)))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 512 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 U (.f64 U U)) (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64))) (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (*.f64 l J)))))))))
(.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 (.f64 J (.f64 l (.f64 l J))) (.f64 J (.f64 l (.f64 l J)))))) (.f64 U (.f64 (.f64 U U) (.f64 U (.f64 U U))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l)))) (.f64 U (.f64 U U)))))

eval249.0ms (1.9%)

Memory: -45.1MiB live, 356.1MiB allocated
Compiler: Compiled 34 091 to 1 902 computations (94.4% saved)

prune284.0ms (2.2%)

Memory

-21.7MiB live, 435.0MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 160	22	1 182
Fresh	12	5	17
Picked	4	1	5
Done	0	3	3
Total	1 176	31	1 207

Accuracy

100.0%

Counts

1 207 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	76.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	69.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	60.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
	58.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	76.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	75.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	50.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	56.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
✓	69.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	47.9%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	62.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	59.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	69.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
✓	59.4%	#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))
	44.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
	36.8%	#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))
	25.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	43.8%	#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)))
✓	50.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
	22.5%	#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
	16.0%	#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
	6.2%	#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
	30.5%	#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
	55.6%	#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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
	47.5%	#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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
	18.4%	#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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.f64 J l)))))
	22.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
	21.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
	22.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
	23.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))

Compiler

Compiled 2 089 to 733 computations (64.9% saved)

regimes186.0ms (1.5%)

Memory

-5.4MiB live, 352.0MiB allocated

Counts

62 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))
(+.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)
(+.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)
(+.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)
(+.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 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

Calls

10 calls:

22.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
19.0ms	K
19.0ms	U
19.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

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)

regimes172.0ms (1.3%)

Memory

11.3MiB live, 251.8MiB allocated

Counts

60 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))
(+.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)
(+.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)
(+.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

(+.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)

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`J`
97.3%	3	`l`
95.9%	2	`K`
92.8%	1	`U`
92.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes26.0ms (0.2%)

Memory

2.2MiB live, 38.8MiB allocated

Counts

57 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))
(+.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)
(+.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 (*.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)

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
96.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes89.0ms (0.7%)

Memory

-5.8MiB live, 79.1MiB allocated

Counts

55 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))
(+.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 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Calls

4 calls:

30.0ms	(/.f64 K #s(literal 2 binary64))
25.0ms	l
15.0ms	K
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.1%	5	`l`
91.7%	2	`K`
91.7%	2	`(/.f64 K #s(literal 2 binary64))`
95.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes125.0ms (1%)

Memory

18.1MiB live, 134.6MiB allocated

Counts

54 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))
(+.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

(+.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)

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

Calls

7 calls:

23.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
23.0ms	J
21.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
15.0ms	U
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
83.2%	1	`U`
88.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
89.8%	3	`J`
94.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 76 to 59 computations (22.4% saved)

regimes24.0ms (0.2%)

Memory

-8.4MiB live, 29.7MiB allocated

Counts

53 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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))

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

Calls

1 calls:

20.0ms

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes84.0ms (0.7%)

Memory

15.3MiB live, 53.0MiB allocated

Counts

52 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (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 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J 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 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Calls

4 calls:

36.0ms	l
15.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	K
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
83.2%	1	`K`
83.2%	1	`(/.f64 K #s(literal 2 binary64))`
88.7%	3	`l`
89.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes54.0ms (0.4%)

Memory

3.5MiB live, 41.1MiB allocated

Counts

47 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* (* l l) (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)) 2)) (.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 J (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Outputs

(fma.f64 (*.f64 #s(approx (* 2 (sinh l)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)

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

Calls

2 calls:

37.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	J

Results

Accuracy	Segments	Branch
84.9%	2	`J`
87.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes191.0ms (1.5%)

Memory

2.9MiB live, 154.0MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 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) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 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 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) (.f64 J (.f64 (.f64 K K) l)) (.f64 l (.f64 J #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)))))) U)) (neg.f64 U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U #s(approx (- U ( 2 (* l J))) (.f64 (.f64 J l) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#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 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal 8 binary64) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#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 (.f64 l J) (.f64 J (.f64 l (.f64 l J)))) #s(literal -8 binary64) (neg.f64 (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (fma.f64 (.f64 l J) #s(literal -2 binary64) U) (.f64 (.f64 l l) (.f64 #s(literal 4 binary64) (.f64 J J))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (.f64 l J) (neg.f64 U))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (.f64 l 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)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 (.f64 J l) (*.f64 #s(literal -1/23040 binary64) (pow.f64 K #s(literal 6 binary64)))))))

Outputs

(fma.f64 (*.f64 #s(approx (* 2 (sinh l)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)

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

Calls

10 calls:

44.0ms	J
38.0ms	U
21.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
12.0ms	l

Results

Accuracy	Segments	Branch
76.8%	1	`K`
76.8%	1	`U`
76.8%	1	`(/.f64 K #s(literal 2 binary64))`
76.8%	1	`J`
76.8%	1	`l`
76.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
76.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
76.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
76.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
81.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes39.0ms (0.3%)

Memory

-34.7MiB live, 16.9MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 J (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (.f64 l #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) l))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))

Outputs

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

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

Calls

1 calls:

36.0ms

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

Results

Accuracy	Segments	Branch
81.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

27 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J 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 K (.f64 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 #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))

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
81.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

24 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (.f64 J (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) l) l)))) #s(approx (cos ( K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J (.f64 (.f64 K K) (.f64 J (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 (.f64 (.f64 K J) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/23040 binary64)) #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) K (.f64 #s(literal 2 binary64) J))))))

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
79.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes65.0ms (0.5%)

Memory

8.1MiB live, 162.9MiB allocated

Counts

18 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)

Outputs

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

Calls

10 calls:

10.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	U
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
6.0ms	K

Results

Accuracy	Segments	Branch
69.7%	1	`K`
69.7%	1	`(/.f64 K #s(literal 2 binary64))`
69.7%	1	`J`
69.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
69.7%	1	`l`
69.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
69.7%	1	`U`
69.7%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
69.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
75.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory

-17.2MiB live, 18.6MiB allocated

Counts

17 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K 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))

Outputs

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
75.3%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

16 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J 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 (* (* J (cos (* K 1/2))) l) (fma.f64 J l (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 l (*.f64 K K)))))) #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)) #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))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
75.3%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

15 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (fma.f64 (.f64 l (.f64 l l)) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
73.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

13 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J l) U) #s(literal -1 binary64)))))))

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
73.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes69.0ms (0.5%)

Memory

-3.0MiB live, 73.1MiB allocated

Counts

11 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U))

Outputs

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

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

Calls

10 calls:

18.0ms	l
4.0ms	U
4.0ms	J
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	K

Results

Accuracy	Segments	Branch
69.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
69.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
65.9%	2	`J`
70.3%	3	`l`
62.5%	1	`K`
62.5%	1	`U`
69.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
62.5%	1	`(/.f64 K #s(literal 2 binary64))`
69.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
66.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes8.0ms (0.1%)

Memory

-34.3MiB live, 10.5MiB allocated

Counts

9 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) U) U))))

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.0%	3	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

8 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Outputs

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

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

Calls

2 calls:

3.0ms	l
3.0ms	(+.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
69.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
69.7%	3	`l`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes31.0ms (0.2%)

Memory

-0.9MiB live, 76.5MiB allocated

Counts

7 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))

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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (*.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx (* (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (*.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))))))))

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

Calls

10 calls:

4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	l
3.0ms	U
3.0ms	J
3.0ms	K

Results

Accuracy	Segments	Branch
50.9%	1	`U`
50.9%	1	`K`
50.9%	1	`(/.f64 K #s(literal 2 binary64))`
50.9%	1	`J`
54.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
56.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
55.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
56.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
56.1%	3	`l`
56.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

6 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)))

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

Calls

2 calls:

3.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
56.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
56.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-7.4MiB live, 30.1MiB allocated

Counts

5 → 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))

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 #s(literal 2 binary64) (*.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))

Calls

6 calls:

4.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
53.5%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
50.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
53.9%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
53.9%	2	`l`
53.8%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
53.8%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes20.0ms (0.2%)

Memory

-23.2MiB live, 19.3MiB allocated

Counts

3 → 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 (+ (* 2 (* J l)) U) (*.f64 l (*.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 #s(literal 2 binary64) (*.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) (fma.f64 #s(literal 2 binary64) (*.f64 J l) 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 #s(literal 2 binary64) (*.f64 J l) U)))

Calls

5 calls:

13.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
1.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
50.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
50.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
50.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
50.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
50.9%	1	`l`

Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes16.0ms (0.1%)

Memory

35.4MiB live, 35.4MiB 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 (+ (* 2 (* J l)) U) (*.f64 l (*.f64 #s(literal 2 binary64) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))))

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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))))

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
18.4%	1	`U`
18.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
18.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
18.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
18.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
18.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
18.4%	1	`J`
18.4%	1	`K`
18.4%	1	`(/.f64 K #s(literal 2 binary64))`
18.4%	1	`l`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes35.0ms (0.3%)

Memory

-4.6MiB live, 33.1MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))

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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))

Calls

10 calls:

23.0ms	U
1.0ms	J
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	(+.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
18.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
18.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
18.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
18.0%	1	`J`
18.0%	1	`K`
18.0%	1	`(/.f64 K #s(literal 2 binary64))`
18.0%	1	`l`
18.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
18.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
18.0%	1	`U`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.017599740061326766	0.036686169080473584

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.017599740061326766	0.036686169080473584

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	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch2.0ms (0%)

Memory

-35.4MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4997466598024056	0.5220247351811234
0.0ms	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4997466598024056	0.5220247351811234
0.0ms	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4997466598024056	0.5220247351811234
0.0ms	-0.0031571409929589877	0.002146277250425168

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	-0.0031571409929589877	0.002146277250425168

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3360456180223826	-0.32685061810216287

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch61.0ms (0.5%)

Memory

-10.4MiB live, 93.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	4.8474644343103575e-22	1.488314491291262e-9
21.0ms	-7.692825597421617e+24	-7.14329971179483e+19

Samples

42.0ms	298×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 744 to 439 computations (41% saved)

Precisions

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

ival-cos: 7.0ms (30.7% of total)

ival-exp: 5.0ms (21.9% of total)

ival-mult: 4.0ms (17.5% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.8474644343103575e-22	1.488314491291262e-9
1.0ms	-7.692825597421617e+24	-7.14329971179483e+19

Compiler

Compiled 744 to 439 computations (41% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2403500553688842e+74	1.2786515753734067e+76
0.0ms	-inf	-3.675943382550969e+288

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3715699272806782e+303	4.675465900287893e+305
0.0ms	-inf	-3.675943382550969e+288

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.336294315696574e-93	4.039251110726343e-32
0.0ms	-inf	-1.217386256187809e-264

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch30.0ms (0.2%)

Memory

-14.1MiB live, 63.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	5806741681104617.0	4.249471345607345e+26

Samples

21.0ms

160×

valid

Compiler

Compiled 312 to 191 computations (38.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 3.0ms (24.9% of total)

ival-div: 2.0ms (16.6% of total)

ival-exp: 2.0ms (16.6% of total)

ival-mult: 2.0ms (16.6% of total)

ival-add: 1.0ms (8.3% of total)

ival-sub: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify36.0ms (0.3%)

Memory

3.9MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Rules

108×	`*-commutative_binary64`
16×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	2128
1	362	2128
2	367	2128
3	370	2128
4	371	2128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh 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)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #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) #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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #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) #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 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #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)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) l) (fma.f64 J l (.f64 #s(literal -1/8 binary64) (.f64 J (.f64 l (.f64 K K)))))) #s(literal 2 binary64) U)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5944751508129055/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J)) l) #s(literal 2 binary64) U)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 l #s(literal -5999999999999999899336704 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (if (<=.f64 l #s(literal 3530063393274717/2417851639229258349412352 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U)))) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 l #s(literal -5999999999999999899336704 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (if (<=.f64 l #s(literal 3530063393274717/2417851639229258349412352 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 (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) U) U)))) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -inf.0 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 199999999999999990329637623605584395770392181606026710334413639527300071424 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 #s(literal 2 binary64) (.f64 J l) U))) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l #s(approx (+ ( l (* l 1/3)) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -inf.0 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 (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 #s(literal -1/4 binary64) (.f64 K K))))))))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 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 #s(literal 2 binary64) (.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 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))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 #s(literal 2 binary64) (.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))))
(if (<=.f64 l #s(literal 3700000000000000000 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 #s(literal 2 binary64) (.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 #s(literal 2 binary64) (*.f64 J l) 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)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 (.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))))))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 (.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 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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))))))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (+.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) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) #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 #s(literal 2 binary64) l)) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
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(if (<=.f64 (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (+ (* J (* l -1/4)) (* (* l (* J (* K K))) (+ (* -1/23040 (* K K)) 1/192)))) U)) (.f64 l (fma.f64 #s(literal 2 binary64) J #s(approx ( (* K K) (* J (+ (* K (* K (+ (* (* K K) -1/23040) 1/192))) -1/4))) (.f64 J (.f64 (.f64 K K) #s(literal -1/4 binary64))))))))) (if (<=.f64 (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 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 #s(literal 2 binary64) (.f64 l 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 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))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 #s(literal 2 binary64) (.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))))
(if (<=.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 l J) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal 5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 #s(literal 2 binary64) (.f64 l 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))))
(if (<=.f64 l #s(literal 3700000000000000000 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 #s(literal 2 binary64) (.f64 J l) 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))))))
(if (<=.f64 l #s(literal 3700000000000000000 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 #s(literal 2 binary64) (.f64 l 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 (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.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 #s(literal 2 binary64) (*.f64 J l) 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 #s(literal 2 binary64) (*.f64 l 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 (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.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) #s(approx (/ (+ (* (* (* J (* J J)) 8) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 #s(literal 2 binary64) (.f64 l 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))

soundness2.1s (16.4%)

Memory

46.9MiB live, 1 945.0MiB allocated

Rules

15 776×	`lower-fma.f64`
15 776×	`lower-fma.f32`
15 664×	`lower-fma.f64`
15 664×	`lower-fma.f32`
12 960×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	407
0	96	395
1	361	395
2	2575	395
0	9221	391
0	14	42
0	23	34
1	72	34
2	433	34
0	4485	33
0	56	424
0	98	399
1	371	399
2	2442	399
0	8891	396
0	132	1686
1	422	1686
2	1391	1576
3	3444	1576
0	8364	1502
0	413	10679
1	1393	10545
2	4514	10377
0	8137	9672
0	700	12190
1	2370	11773
0	8205	10981
0	328	8870
1	1100	8786
2	3247	8330
3	6926	8318
0	8435	7842

Stop Event

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

Compiler

Compiled 3 145 to 1 637 computations (47.9% saved)

preprocess213.0ms (1.7%)

Memory: -9.5MiB live, 296.8MiB allocated
Remove: (abs K)
Compiler: Compiled 2 390 to 446 computations (81.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated